Finding the Third Proportional to 35,409 and 77,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,409 : 77,257.50 = 77,257.50 : x
2. Step 2: Convert to fraction form
   35,409/77,257.50 = 77,257.50/x
3. Step 3: Cross multiply
   35,409x = 77,257.50 × 77,257.50
4. Step 4: Simplify right side
   35,409x = 5,968,721,306.25
5. Step 5: Solve for x
   x = 5,968,721,306.25/35,409
6. Step 6: Final answer
   x = 168,565.09