Finding the Third Proportional to 25,184 and 52,462

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184 : 52,462 = 52,462 : x
2. Step 2: Convert to fraction form
   25,184/52,462 = 52,462/x
3. Step 3: Cross multiply
   25,184x = 52,462 × 52,462
4. Step 4: Simplify right side
   25,184x = 2,752,261,444
5. Step 5: Solve for x
   x = 2,752,261,444/25,184
6. Step 6: Final answer
   x = 109,286.11