Finding the Third Proportional to 16,400 and 24,904

Step by Step Solution

1. Step 1: Write the proportion equation
   16,400 : 24,904 = 24,904 : x
2. Step 2: Convert to fraction form
   16,400/24,904 = 24,904/x
3. Step 3: Cross multiply
   16,400x = 24,904 × 24,904
4. Step 4: Simplify right side
   16,400x = 620,209,216
5. Step 5: Solve for x
   x = 620,209,216/16,400
6. Step 6: Final answer
   x = 37,817.64