Finding the Third Proportional to 25,886 and 56,764

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886 : 56,764 = 56,764 : x
2. Step 2: Convert to fraction form
   25,886/56,764 = 56,764/x
3. Step 3: Cross multiply
   25,886x = 56,764 × 56,764
4. Step 4: Simplify right side
   25,886x = 3,222,151,696
5. Step 5: Solve for x
   x = 3,222,151,696/25,886
6. Step 6: Final answer
   x = 124,474.69