Finding the Third Proportional to 16,424 and 25,478

Step by Step Solution

1. Step 1: Write the proportion equation
   16,424 : 25,478 = 25,478 : x
2. Step 2: Convert to fraction form
   16,424/25,478 = 25,478/x
3. Step 3: Cross multiply
   16,424x = 25,478 × 25,478
4. Step 4: Simplify right side
   16,424x = 649,128,484
5. Step 5: Solve for x
   x = 649,128,484/16,424
6. Step 6: Final answer
   x = 39,523.17