Finding the Third Proportional to 9,024 and 14,640

Step by Step Solution

1. Step 1: Write the proportion equation
   9,024 : 14,640 = 14,640 : x
2. Step 2: Convert to fraction form
   9,024/14,640 = 14,640/x
3. Step 3: Cross multiply
   9,024x = 14,640 × 14,640
4. Step 4: Simplify right side
   9,024x = 214,329,600
5. Step 5: Solve for x
   x = 214,329,600/9,024
6. Step 6: Final answer
   x = 23,751.06