Finding the Third Proportional to 25,676 and 55,564

Step by Step Solution

1. Step 1: Write the proportion equation
   25,676 : 55,564 = 55,564 : x
2. Step 2: Convert to fraction form
   25,676/55,564 = 55,564/x
3. Step 3: Cross multiply
   25,676x = 55,564 × 55,564
4. Step 4: Simplify right side
   25,676x = 3,087,358,096
5. Step 5: Solve for x
   x = 3,087,358,096/25,676
6. Step 6: Final answer
   x = 120,242.95