Finding the Third Proportional to 25,879.50 and 31,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,879.50 : 31,225.50 = 31,225.50 : x
2. Step 2: Convert to fraction form
   25,879.50/31,225.50 = 31,225.50/x
3. Step 3: Cross multiply
   25,879.50x = 31,225.50 × 31,225.50
4. Step 4: Simplify right side
   25,879.50x = 975,031,850.25
5. Step 5: Solve for x
   x = 975,031,850.25/25,879.50
6. Step 6: Final answer
   x = 37,675.84