Finding the Third Proportional to 9,024 and 14,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,024 : 14,047.50 = 14,047.50 : x
2. Step 2: Convert to fraction form
   9,024/14,047.50 = 14,047.50/x
3. Step 3: Cross multiply
   9,024x = 14,047.50 × 14,047.50
4. Step 4: Simplify right side
   9,024x = 197,332,256.25
5. Step 5: Solve for x
   x = 197,332,256.25/9,024
6. Step 6: Final answer
   x = 21,867.49