Finding the Third Proportional to 25,142.25 and 37,278.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,142.25 : 37,278.75 = 37,278.75 : x
2. Step 2: Convert to fraction form
   25,142.25/37,278.75 = 37,278.75/x
3. Step 3: Cross multiply
   25,142.25x = 37,278.75 × 37,278.75
4. Step 4: Simplify right side
   25,142.25x = 1,389,705,201.56
5. Step 5: Solve for x
   x = 1,389,705,201.56/25,142.25
6. Step 6: Final answer
   x = 55,273.70