Finding the Third Proportional to 16,825 and 24,505

Step by Step Solution

1. Step 1: Write the proportion equation
   16,825 : 24,505 = 24,505 : x
2. Step 2: Convert to fraction form
   16,825/24,505 = 24,505/x
3. Step 3: Cross multiply
   16,825x = 24,505 × 24,505
4. Step 4: Simplify right side
   16,825x = 600,495,025
5. Step 5: Solve for x
   x = 600,495,025/16,825
6. Step 6: Final answer
   x = 35,690.64