Finding the Third Proportional to 16,127.50 and 24,434.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,127.50 : 24,434.25 = 24,434.25 : x
2. Step 2: Convert to fraction form
   16,127.50/24,434.25 = 24,434.25/x
3. Step 3: Cross multiply
   16,127.50x = 24,434.25 × 24,434.25
4. Step 4: Simplify right side
   16,127.50x = 597,032,573.06
5. Step 5: Solve for x
   x = 597,032,573.06/16,127.50
6. Step 6: Final answer
   x = 37,019.54