Finding the Third Proportional to 12,706 and 17,448

Step by Step Solution

1. Step 1: Write the proportion equation
   12,706 : 17,448 = 17,448 : x
2. Step 2: Convert to fraction form
   12,706/17,448 = 17,448/x
3. Step 3: Cross multiply
   12,706x = 17,448 × 17,448
4. Step 4: Simplify right side
   12,706x = 304,432,704
5. Step 5: Solve for x
   x = 304,432,704/12,706
6. Step 6: Final answer
   x = 23,959.76