Finding the Third Proportional to 15,024 and 23,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,024 : 23,567.50 = 23,567.50 : x
2. Step 2: Convert to fraction form
   15,024/23,567.50 = 23,567.50/x
3. Step 3: Cross multiply
   15,024x = 23,567.50 × 23,567.50
4. Step 4: Simplify right side
   15,024x = 555,427,056.25
5. Step 5: Solve for x
   x = 555,427,056.25/15,024
6. Step 6: Final answer
   x = 36,969.32