Finding the Third Proportional to 12,782.25 and 25,017.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.25 : 25,017.75 = 25,017.75 : x
2. Step 2: Convert to fraction form
   12,782.25/25,017.75 = 25,017.75/x
3. Step 3: Cross multiply
   12,782.25x = 25,017.75 × 25,017.75
4. Step 4: Simplify right side
   12,782.25x = 625,887,815.06
5. Step 5: Solve for x
   x = 625,887,815.06/12,782.25
6. Step 6: Final answer
   x = 48,965.39