Finding the Third Proportional to 25,838 and 56,518

Step by Step Solution

1. Step 1: Write the proportion equation
   25,838 : 56,518 = 56,518 : x
2. Step 2: Convert to fraction form
   25,838/56,518 = 56,518/x
3. Step 3: Cross multiply
   25,838x = 56,518 × 56,518
4. Step 4: Simplify right side
   25,838x = 3,194,284,324
5. Step 5: Solve for x
   x = 3,194,284,324/25,838
6. Step 6: Final answer
   x = 123,627.38