Finding the Third Proportional to 15,584.50 and 24,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,584.50 : 24,697.50 = 24,697.50 : x
2. Step 2: Convert to fraction form
   15,584.50/24,697.50 = 24,697.50/x
3. Step 3: Cross multiply
   15,584.50x = 24,697.50 × 24,697.50
4. Step 4: Simplify right side
   15,584.50x = 609,966,506.25
5. Step 5: Solve for x
   x = 609,966,506.25/15,584.50
6. Step 6: Final answer
   x = 39,139.31