Finding the Third Proportional to 25,535.25 and 38,338.31

Step by Step Solution

1. Step 1: Write the proportion equation
   25,535.25 : 38,338.31 = 38,338.31 : x
2. Step 2: Convert to fraction form
   25,535.25/38,338.31 = 38,338.31/x
3. Step 3: Cross multiply
   25,535.25x = 38,338.31 × 38,338.31
4. Step 4: Simplify right side
   25,535.25x = 1,469,826,205.35
5. Step 5: Solve for x
   x = 1,469,826,205.35/25,535.25
6. Step 6: Final answer
   x = 57,560.67