Finding the Third Proportional to 35,508 and 76,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,508 : 76,552.50 = 76,552.50 : x
2. Step 2: Convert to fraction form
   35,508/76,552.50 = 76,552.50/x
3. Step 3: Cross multiply
   35,508x = 76,552.50 × 76,552.50
4. Step 4: Simplify right side
   35,508x = 5,860,285,256.25
5. Step 5: Solve for x
   x = 5,860,285,256.25/35,508
6. Step 6: Final answer
   x = 165,041.27