Finding the Third Proportional to 16,300 and 25,424

Step by Step Solution

1. Step 1: Write the proportion equation
   16,300 : 25,424 = 25,424 : x
2. Step 2: Convert to fraction form
   16,300/25,424 = 25,424/x
3. Step 3: Cross multiply
   16,300x = 25,424 × 25,424
4. Step 4: Simplify right side
   16,300x = 646,379,776
5. Step 5: Solve for x
   x = 646,379,776/16,300
6. Step 6: Final answer
   x = 39,655.20