Finding the Third Proportional to 9,002 and 13,527

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 13,527 = 13,527 : x
2. Step 2: Convert to fraction form
   9,002/13,527 = 13,527/x
3. Step 3: Cross multiply
   9,002x = 13,527 × 13,527
4. Step 4: Simplify right side
   9,002x = 182,979,729
5. Step 5: Solve for x
   x = 182,979,729/9,002
6. Step 6: Final answer
   x = 20,326.56