Finding the Third Proportional to 25,309 and 55,385

Step by Step Solution

1. Step 1: Write the proportion equation
   25,309 : 55,385 = 55,385 : x
2. Step 2: Convert to fraction form
   25,309/55,385 = 55,385/x
3. Step 3: Cross multiply
   25,309x = 55,385 × 55,385
4. Step 4: Simplify right side
   25,309x = 3,067,498,225
5. Step 5: Solve for x
   x = 3,067,498,225/25,309
6. Step 6: Final answer
   x = 121,201.87