Finding the Third Proportional to 32,087.50 and 77,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,087.50 : 77,302.50 = 77,302.50 : x
2. Step 2: Convert to fraction form
   32,087.50/77,302.50 = 77,302.50/x
3. Step 3: Cross multiply
   32,087.50x = 77,302.50 × 77,302.50
4. Step 4: Simplify right side
   32,087.50x = 5,975,676,506.25
5. Step 5: Solve for x
   x = 5,975,676,506.25/32,087.50
6. Step 6: Final answer
   x = 186,230.67