Finding the Third Proportional to 25,650 and 55,674

Step by Step Solution

1. Step 1: Write the proportion equation
   25,650 : 55,674 = 55,674 : x
2. Step 2: Convert to fraction form
   25,650/55,674 = 55,674/x
3. Step 3: Cross multiply
   25,650x = 55,674 × 55,674
4. Step 4: Simplify right side
   25,650x = 3,099,594,276
5. Step 5: Solve for x
   x = 3,099,594,276/25,650
6. Step 6: Final answer
   x = 120,841.88