Finding the Third Proportional to 8,164,142,323,948 and 17,492,788,063,748

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,323,948 : 17,492,788,063,748 = 17,492,788,063,748 : x
2. Step 2: Convert to fraction form
   8,164,142,323,948/17,492,788,063,748 = 17,492,788,063,748/x
3. Step 3: Cross multiply
   8,164,142,323,948x = 17,492,788,063,748 × 17,492,788,063,748
4. Step 4: Simplify right side
   8,164,142,323,948x = 305,997,634,243,204,492,851,937,280
5. Step 5: Solve for x
   x = 305,997,634,243,204,492,851,937,280/8,164,142,323,948
6. Step 6: Final answer
   x = 37,480,683,469,421.77