Finding the Third Proportional to 15,825.50 and 24,496.38

Step by Step Solution

1. Step 1: Write the proportion equation
   15,825.50 : 24,496.38 = 24,496.38 : x
2. Step 2: Convert to fraction form
   15,825.50/24,496.38 = 24,496.38/x
3. Step 3: Cross multiply
   15,825.50x = 24,496.38 × 24,496.38
4. Step 4: Simplify right side
   15,825.50x = 600,072,388.14
5. Step 5: Solve for x
   x = 600,072,388.14/15,825.50
6. Step 6: Final answer
   x = 37,918.07