Finding the Third Proportional to 25,659 and 55,138

Step by Step Solution

1. Step 1: Write the proportion equation
   25,659 : 55,138 = 55,138 : x
2. Step 2: Convert to fraction form
   25,659/55,138 = 55,138/x
3. Step 3: Cross multiply
   25,659x = 55,138 × 55,138
4. Step 4: Simplify right side
   25,659x = 3,040,199,044
5. Step 5: Solve for x
   x = 3,040,199,044/25,659
6. Step 6: Final answer
   x = 118,484.70