Finding the Third Proportional to 9,080 and 13,566

Step by Step Solution

1. Step 1: Write the proportion equation
   9,080 : 13,566 = 13,566 : x
2. Step 2: Convert to fraction form
   9,080/13,566 = 13,566/x
3. Step 3: Cross multiply
   9,080x = 13,566 × 13,566
4. Step 4: Simplify right side
   9,080x = 184,036,356
5. Step 5: Solve for x
   x = 184,036,356/9,080
6. Step 6: Final answer
   x = 20,268.32