Finding the Third Proportional to 25,174 and 51,442

Step by Step Solution

1. Step 1: Write the proportion equation
   25,174 : 51,442 = 51,442 : x
2. Step 2: Convert to fraction form
   25,174/51,442 = 51,442/x
3. Step 3: Cross multiply
   25,174x = 51,442 × 51,442
4. Step 4: Simplify right side
   25,174x = 2,646,279,364
5. Step 5: Solve for x
   x = 2,646,279,364/25,174
6. Step 6: Final answer
   x = 105,119.54