Finding the Third Proportional to 35,217 and 77,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,217 : 77,149.50 = 77,149.50 : x
2. Step 2: Convert to fraction form
   35,217/77,149.50 = 77,149.50/x
3. Step 3: Cross multiply
   35,217x = 77,149.50 × 77,149.50
4. Step 4: Simplify right side
   35,217x = 5,952,045,350.25
5. Step 5: Solve for x
   x = 5,952,045,350.25/35,217
6. Step 6: Final answer
   x = 169,010.57