Finding the Third Proportional to 25,796.50 and 38,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,796.50 : 38,576.50 = 38,576.50 : x
2. Step 2: Convert to fraction form
   25,796.50/38,576.50 = 38,576.50/x
3. Step 3: Cross multiply
   25,796.50x = 38,576.50 × 38,576.50
4. Step 4: Simplify right side
   25,796.50x = 1,488,146,352.25
5. Step 5: Solve for x
   x = 1,488,146,352.25/25,796.50
6. Step 6: Final answer
   x = 57,687.92