Finding the Third Proportional to 8,164,142,323,946 and 17,492,788,063,744

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,323,946 : 17,492,788,063,744 = 17,492,788,063,744 : x
2. Step 2: Convert to fraction form
   8,164,142,323,946/17,492,788,063,744 = 17,492,788,063,744/x
3. Step 3: Cross multiply
   8,164,142,323,946x = 17,492,788,063,744 × 17,492,788,063,744
4. Step 4: Simplify right side
   8,164,142,323,946x = 305,997,634,243,064,545,637,564,416
5. Step 5: Solve for x
   x = 305,997,634,243,064,545,637,564,416/8,164,142,323,946
6. Step 6: Final answer
   x = 37,480,683,469,413.82