Finding the Third Proportional to 25,166 and 52,780

Step by Step Solution

1. Step 1: Write the proportion equation
   25,166 : 52,780 = 52,780 : x
2. Step 2: Convert to fraction form
   25,166/52,780 = 52,780/x
3. Step 3: Cross multiply
   25,166x = 52,780 × 52,780
4. Step 4: Simplify right side
   25,166x = 2,785,728,400
5. Step 5: Solve for x
   x = 2,785,728,400/25,166
6. Step 6: Final answer
   x = 110,694.13