Finding the Third Proportional to 16,633 and 25,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,633 : 25,429.50 = 25,429.50 : x
2. Step 2: Convert to fraction form
   16,633/25,429.50 = 25,429.50/x
3. Step 3: Cross multiply
   16,633x = 25,429.50 × 25,429.50
4. Step 4: Simplify right side
   16,633x = 646,659,470.25
5. Step 5: Solve for x
   x = 646,659,470.25/16,633
6. Step 6: Final answer
   x = 38,878.10