Finding the Third Proportional to 35,910.75 and 77,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,910.75 : 77,113.50 = 77,113.50 : x
2. Step 2: Convert to fraction form
   35,910.75/77,113.50 = 77,113.50/x
3. Step 3: Cross multiply
   35,910.75x = 77,113.50 × 77,113.50
4. Step 4: Simplify right side
   35,910.75x = 5,946,491,882.25
5. Step 5: Solve for x
   x = 5,946,491,882.25/35,910.75
6. Step 6: Final answer
   x = 165,590.86