Finding the Third Proportional to 8,164,142,323,944 and 17,492,788,063,740

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,323,944 : 17,492,788,063,740 = 17,492,788,063,740 : x
2. Step 2: Convert to fraction form
   8,164,142,323,944/17,492,788,063,740 = 17,492,788,063,740/x
3. Step 3: Cross multiply
   8,164,142,323,944x = 17,492,788,063,740 × 17,492,788,063,740
4. Step 4: Simplify right side
   8,164,142,323,944x = 305,997,634,242,924,632,782,929,920
5. Step 5: Solve for x
   x = 305,997,634,242,924,632,782,929,920/8,164,142,323,944
6. Step 6: Final answer
   x = 37,480,683,469,405.86