Finding the Third Proportional to 11,775.38 and 25,256.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,775.38 : 25,256.81 = 25,256.81 : x
2. Step 2: Convert to fraction form
   11,775.38/25,256.81 = 25,256.81/x
3. Step 3: Cross multiply
   11,775.38x = 25,256.81 × 25,256.81
4. Step 4: Simplify right side
   11,775.38x = 637,906,577.66
5. Step 5: Solve for x
   x = 637,906,577.66/11,775.38
6. Step 6: Final answer
   x = 54,172.93