Finding the Third Proportional to 25,634 and 55,756

Step by Step Solution

1. Step 1: Write the proportion equation
   25,634 : 55,756 = 55,756 : x
2. Step 2: Convert to fraction form
   25,634/55,756 = 55,756/x
3. Step 3: Cross multiply
   25,634x = 55,756 × 55,756
4. Step 4: Simplify right side
   25,634x = 3,108,731,536
5. Step 5: Solve for x
   x = 3,108,731,536/25,634
6. Step 6: Final answer
   x = 121,273.76