Finding the Third Proportional to 25,587.75 and 37,649.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,587.75 : 37,649.25 = 37,649.25 : x
2. Step 2: Convert to fraction form
   25,587.75/37,649.25 = 37,649.25/x
3. Step 3: Cross multiply
   25,587.75x = 37,649.25 × 37,649.25
4. Step 4: Simplify right side
   25,587.75x = 1,417,466,025.56
5. Step 5: Solve for x
   x = 1,417,466,025.56/25,587.75
6. Step 6: Final answer
   x = 55,396.27