Finding the Third Proportional to 9,150 and 13,531

Step by Step Solution

1. Step 1: Write the proportion equation
   9,150 : 13,531 = 13,531 : x
2. Step 2: Convert to fraction form
   9,150/13,531 = 13,531/x
3. Step 3: Cross multiply
   9,150x = 13,531 × 13,531
4. Step 4: Simplify right side
   9,150x = 183,087,961
5. Step 5: Solve for x
   x = 183,087,961/9,150
6. Step 6: Final answer
   x = 20,009.61