Finding the Third Proportional to 25,887 and 55,509

Step by Step Solution

1. Step 1: Write the proportion equation
   25,887 : 55,509 = 55,509 : x
2. Step 2: Convert to fraction form
   25,887/55,509 = 55,509/x
3. Step 3: Cross multiply
   25,887x = 55,509 × 55,509
4. Step 4: Simplify right side
   25,887x = 3,081,249,081
5. Step 5: Solve for x
   x = 3,081,249,081/25,887
6. Step 6: Final answer
   x = 119,026.89