Finding the Third Proportional to 39,688.50 and 59,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,688.50 : 59,527.50 = 59,527.50 : x
2. Step 2: Convert to fraction form
   39,688.50/59,527.50 = 59,527.50/x
3. Step 3: Cross multiply
   39,688.50x = 59,527.50 × 59,527.50
4. Step 4: Simplify right side
   39,688.50x = 3,543,523,256.25
5. Step 5: Solve for x
   x = 3,543,523,256.25/39,688.50
6. Step 6: Final answer
   x = 89,283.38