Finding the Third Proportional to 16,586 and 25,366

Step by Step Solution

1. Step 1: Write the proportion equation
   16,586 : 25,366 = 25,366 : x
2. Step 2: Convert to fraction form
   16,586/25,366 = 25,366/x
3. Step 3: Cross multiply
   16,586x = 25,366 × 25,366
4. Step 4: Simplify right side
   16,586x = 643,433,956
5. Step 5: Solve for x
   x = 643,433,956/16,586
6. Step 6: Final answer
   x = 38,793.80