Finding the Third Proportional to 16,124 and 25,586

Step by Step Solution

1. Step 1: Write the proportion equation
   16,124 : 25,586 = 25,586 : x
2. Step 2: Convert to fraction form
   16,124/25,586 = 25,586/x
3. Step 3: Cross multiply
   16,124x = 25,586 × 25,586
4. Step 4: Simplify right side
   16,124x = 654,643,396
5. Step 5: Solve for x
   x = 654,643,396/16,124
6. Step 6: Final answer
   x = 40,600.56