Finding the Third Proportional to 8,164,142,324,016 and 17,492,788,063,920

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164,142,324,016 : 17,492,788,063,920 = 17,492,788,063,920 : x
2. Step 2: Convert to fraction form
   8,164,142,324,016/17,492,788,063,920 = 17,492,788,063,920/x
3. Step 3: Cross multiply
   8,164,142,324,016x = 17,492,788,063,920 × 17,492,788,063,920
4. Step 4: Simplify right side
   8,164,142,324,016x = 305,997,634,249,222,016,911,540,224
5. Step 5: Solve for x
   x = 305,997,634,249,222,016,911,540,224/8,164,142,324,016
6. Step 6: Final answer
   x = 37,480,683,469,846.66