Finding the Third Proportional to 7,670,581,874,892 and 16,691,495,156,064

Step by Step Solution

1. Step 1: Write the proportion equation
   7,670,581,874,892 : 16,691,495,156,064 = 16,691,495,156,064 : x
2. Step 2: Convert to fraction form
   7,670,581,874,892/16,691,495,156,064 = 16,691,495,156,064/x
3. Step 3: Cross multiply
   7,670,581,874,892x = 16,691,495,156,064 × 16,691,495,156,064
4. Step 4: Simplify right side
   7,670,581,874,892x = 278,606,010,544,907,971,043,786,752
5. Step 5: Solve for x
   x = 278,606,010,544,907,971,043,786,752/7,670,581,874,892
6. Step 6: Final answer
   x = 36,321,365,847,989.30