Finding the Third Proportional to 25,471 and 54,222

Step by Step Solution

1. Step 1: Write the proportion equation
   25,471 : 54,222 = 54,222 : x
2. Step 2: Convert to fraction form
   25,471/54,222 = 54,222/x
3. Step 3: Cross multiply
   25,471x = 54,222 × 54,222
4. Step 4: Simplify right side
   25,471x = 2,940,025,284
5. Step 5: Solve for x
   x = 2,940,025,284/25,471
6. Step 6: Final answer
   x = 115,426.38