Finding the Third Proportional to 25,818.75 and 31,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,818.75 : 31,772.25 = 31,772.25 : x
2. Step 2: Convert to fraction form
   25,818.75/31,772.25 = 31,772.25/x
3. Step 3: Cross multiply
   25,818.75x = 31,772.25 × 31,772.25
4. Step 4: Simplify right side
   25,818.75x = 1,009,475,870.06
5. Step 5: Solve for x
   x = 1,009,475,870.06/25,818.75
6. Step 6: Final answer
   x = 39,098.56