Finding the Third Proportional to 12,809.25 and 26,256.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,809.25 : 26,256.38 = 26,256.38 : x
2. Step 2: Convert to fraction form
   12,809.25/26,256.38 = 26,256.38/x
3. Step 3: Cross multiply
   12,809.25x = 26,256.38 × 26,256.38
4. Step 4: Simplify right side
   12,809.25x = 689,397,228.14
5. Step 5: Solve for x
   x = 689,397,228.14/12,809.25
6. Step 6: Final answer
   x = 53,820.26