Finding the Third Proportional to 25,184 and 51,460

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184 : 51,460 = 51,460 : x
2. Step 2: Convert to fraction form
   25,184/51,460 = 51,460/x
3. Step 3: Cross multiply
   25,184x = 51,460 × 51,460
4. Step 4: Simplify right side
   25,184x = 2,648,131,600
5. Step 5: Solve for x
   x = 2,648,131,600/25,184
6. Step 6: Final answer
   x = 105,151.35