Finding the Third Proportional to 9,140 and 13,022

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140 : 13,022 = 13,022 : x
2. Step 2: Convert to fraction form
   9,140/13,022 = 13,022/x
3. Step 3: Cross multiply
   9,140x = 13,022 × 13,022
4. Step 4: Simplify right side
   9,140x = 169,572,484
5. Step 5: Solve for x
   x = 169,572,484/9,140
6. Step 6: Final answer
   x = 18,552.79