Finding the Third Proportional to 12,565 and 17,062

Step by Step Solution

1. Step 1: Write the proportion equation
   12,565 : 17,062 = 17,062 : x
2. Step 2: Convert to fraction form
   12,565/17,062 = 17,062/x
3. Step 3: Cross multiply
   12,565x = 17,062 × 17,062
4. Step 4: Simplify right side
   12,565x = 291,111,844
5. Step 5: Solve for x
   x = 291,111,844/12,565
6. Step 6: Final answer
   x = 23,168.47