Finding the Third Proportional to 35,910 and 77,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,910 : 77,125.50 = 77,125.50 : x
2. Step 2: Convert to fraction form
   35,910/77,125.50 = 77,125.50/x
3. Step 3: Cross multiply
   35,910x = 77,125.50 × 77,125.50
4. Step 4: Simplify right side
   35,910x = 5,948,342,750.25
5. Step 5: Solve for x
   x = 5,948,342,750.25/35,910
6. Step 6: Final answer
   x = 165,645.86