Finding the Third Proportional to 13,128 and 17,687.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,128 : 17,687.25 = 17,687.25 : x
2. Step 2: Convert to fraction form
   13,128/17,687.25 = 17,687.25/x
3. Step 3: Cross multiply
   13,128x = 17,687.25 × 17,687.25
4. Step 4: Simplify right side
   13,128x = 312,838,812.56
5. Step 5: Solve for x
   x = 312,838,812.56/13,128
6. Step 6: Final answer
   x = 23,829.89