Finding the Third Proportional to 12,584.25 and 25,715.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584.25 : 25,715.25 = 25,715.25 : x
2. Step 2: Convert to fraction form
   12,584.25/25,715.25 = 25,715.25/x
3. Step 3: Cross multiply
   12,584.25x = 25,715.25 × 25,715.25
4. Step 4: Simplify right side
   12,584.25x = 661,274,082.56
5. Step 5: Solve for x
   x = 661,274,082.56/12,584.25
6. Step 6: Final answer
   x = 52,547.75