Finding the Third Proportional to 25,838 and 55,888

Step by Step Solution

1. Step 1: Write the proportion equation
   25,838 : 55,888 = 55,888 : x
2. Step 2: Convert to fraction form
   25,838/55,888 = 55,888/x
3. Step 3: Cross multiply
   25,838x = 55,888 × 55,888
4. Step 4: Simplify right side
   25,838x = 3,123,468,544
5. Step 5: Solve for x
   x = 3,123,468,544/25,838
6. Step 6: Final answer
   x = 120,886.62