Finding the Third Proportional to 25,338 and 55,764

Step by Step Solution

1. Step 1: Write the proportion equation
   25,338 : 55,764 = 55,764 : x
2. Step 2: Convert to fraction form
   25,338/55,764 = 55,764/x
3. Step 3: Cross multiply
   25,338x = 55,764 × 55,764
4. Step 4: Simplify right side
   25,338x = 3,109,623,696
5. Step 5: Solve for x
   x = 3,109,623,696/25,338
6. Step 6: Final answer
   x = 122,725.70