Finding the Third Proportional to 13,224 and 17,632

Step by Step Solution

1. Step 1: Write the proportion equation
   13,224 : 17,632 = 17,632 : x
2. Step 2: Convert to fraction form
   13,224/17,632 = 17,632/x
3. Step 3: Cross multiply
   13,224x = 17,632 × 17,632
4. Step 4: Simplify right side
   13,224x = 310,887,424
5. Step 5: Solve for x
   x = 310,887,424/13,224
6. Step 6: Final answer
   x = 23,509.33