Finding the Third Proportional to 39,136.50 and 85,252.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,136.50 : 85,252.50 = 85,252.50 : x
2. Step 2: Convert to fraction form
   39,136.50/85,252.50 = 85,252.50/x
3. Step 3: Cross multiply
   39,136.50x = 85,252.50 × 85,252.50
4. Step 4: Simplify right side
   39,136.50x = 7,267,988,756.25
5. Step 5: Solve for x
   x = 7,267,988,756.25/39,136.50
6. Step 6: Final answer
   x = 185,708.71