Finding the Third Proportional to 16,896 and 25,624

Step by Step Solution

1. Step 1: Write the proportion equation
   16,896 : 25,624 = 25,624 : x
2. Step 2: Convert to fraction form
   16,896/25,624 = 25,624/x
3. Step 3: Cross multiply
   16,896x = 25,624 × 25,624
4. Step 4: Simplify right side
   16,896x = 656,589,376
5. Step 5: Solve for x
   x = 656,589,376/16,896
6. Step 6: Final answer
   x = 38,860.64