Finding the Third Proportional to 13,124 and 17,681

Step by Step Solution

1. Step 1: Write the proportion equation
   13,124 : 17,681 = 17,681 : x
2. Step 2: Convert to fraction form
   13,124/17,681 = 17,681/x
3. Step 3: Cross multiply
   13,124x = 17,681 × 17,681
4. Step 4: Simplify right side
   13,124x = 312,617,761
5. Step 5: Solve for x
   x = 312,617,761/13,124
6. Step 6: Final answer
   x = 23,820.31