Finding the Third Proportional to 25,898 and 56,674

Step by Step Solution

1. Step 1: Write the proportion equation
   25,898 : 56,674 = 56,674 : x
2. Step 2: Convert to fraction form
   25,898/56,674 = 56,674/x
3. Step 3: Cross multiply
   25,898x = 56,674 × 56,674
4. Step 4: Simplify right side
   25,898x = 3,211,942,276
5. Step 5: Solve for x
   x = 3,211,942,276/25,898
6. Step 6: Final answer
   x = 124,022.79