Finding the Third Proportional to 17,565 and 27,078

Step by Step Solution

1. Step 1: Write the proportion equation
   17,565 : 27,078 = 27,078 : x
2. Step 2: Convert to fraction form
   17,565/27,078 = 27,078/x
3. Step 3: Cross multiply
   17,565x = 27,078 × 27,078
4. Step 4: Simplify right side
   17,565x = 733,218,084
5. Step 5: Solve for x
   x = 733,218,084/17,565
6. Step 6: Final answer
   x = 41,743.13