Finding the Third Proportional to 16,825.13 and 25,278.38

Step by Step Solution

1. Step 1: Write the proportion equation
   16,825.13 : 25,278.38 = 25,278.38 : x
2. Step 2: Convert to fraction form
   16,825.13/25,278.38 = 25,278.38/x
3. Step 3: Cross multiply
   16,825.13x = 25,278.38 × 25,278.38
4. Step 4: Simplify right side
   16,825.13x = 638,996,242.64
5. Step 5: Solve for x
   x = 638,996,242.64/16,825.13
6. Step 6: Final answer
   x = 37,978.69