Finding the Third Proportional to 12,578 and 17,022

Step by Step Solution

1. Step 1: Write the proportion equation
   12,578 : 17,022 = 17,022 : x
2. Step 2: Convert to fraction form
   12,578/17,022 = 17,022/x
3. Step 3: Cross multiply
   12,578x = 17,022 × 17,022
4. Step 4: Simplify right side
   12,578x = 289,748,484
5. Step 5: Solve for x
   x = 289,748,484/12,578
6. Step 6: Final answer
   x = 23,036.13