Finding the Third Proportional to 20,580.75 and 31,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,580.75 : 31,772.25 = 31,772.25 : x
2. Step 2: Convert to fraction form
   20,580.75/31,772.25 = 31,772.25/x
3. Step 3: Cross multiply
   20,580.75x = 31,772.25 × 31,772.25
4. Step 4: Simplify right side
   20,580.75x = 1,009,475,870.06
5. Step 5: Solve for x
   x = 1,009,475,870.06/20,580.75
6. Step 6: Final answer
   x = 49,049.52