Finding the Third Proportional to 25,845 and 37,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,845 : 37,261.50 = 37,261.50 : x
2. Step 2: Convert to fraction form
   25,845/37,261.50 = 37,261.50/x
3. Step 3: Cross multiply
   25,845x = 37,261.50 × 37,261.50
4. Step 4: Simplify right side
   25,845x = 1,388,419,382.25
5. Step 5: Solve for x
   x = 1,388,419,382.25/25,845
6. Step 6: Final answer
   x = 53,721.01