Finding the Third Proportional to 32,089.50 and 77,307.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,089.50 : 77,307.75 = 77,307.75 : x
2. Step 2: Convert to fraction form
   32,089.50/77,307.75 = 77,307.75/x
3. Step 3: Cross multiply
   32,089.50x = 77,307.75 × 77,307.75
4. Step 4: Simplify right side
   32,089.50x = 5,976,488,210.06
5. Step 5: Solve for x
   x = 5,976,488,210.06/32,089.50
6. Step 6: Final answer
   x = 186,244.35