Finding the Third Proportional to 25,148.25 and 37,725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   25,148.25 : 37,725.38 = 37,725.38 : x
2. Step 2: Convert to fraction form
   25,148.25/37,725.38 = 37,725.38/x
3. Step 3: Cross multiply
   25,148.25x = 37,725.38 × 37,725.38
4. Step 4: Simplify right side
   25,148.25x = 1,423,203,918.89
5. Step 5: Solve for x
   x = 1,423,203,918.89/25,148.25
6. Step 6: Final answer
   x = 56,592.56