Finding the Third Proportional to 25,606 and 54,764

Step by Step Solution

1. Step 1: Write the proportion equation
   25,606 : 54,764 = 54,764 : x
2. Step 2: Convert to fraction form
   25,606/54,764 = 54,764/x
3. Step 3: Cross multiply
   25,606x = 54,764 × 54,764
4. Step 4: Simplify right side
   25,606x = 2,999,095,696
5. Step 5: Solve for x
   x = 2,999,095,696/25,606
6. Step 6: Final answer
   x = 117,124.72