Finding the Third Proportional to 25,596 and 38,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,596 : 38,791.50 = 38,791.50 : x
2. Step 2: Convert to fraction form
   25,596/38,791.50 = 38,791.50/x
3. Step 3: Cross multiply
   25,596x = 38,791.50 × 38,791.50
4. Step 4: Simplify right side
   25,596x = 1,504,780,472.25
5. Step 5: Solve for x
   x = 1,504,780,472.25/25,596
6. Step 6: Final answer
   x = 58,789.67