Finding the Third Proportional to 25,999 and 55,102

Step by Step Solution

1. Step 1: Write the proportion equation
   25,999 : 55,102 = 55,102 : x
2. Step 2: Convert to fraction form
   25,999/55,102 = 55,102/x
3. Step 3: Cross multiply
   25,999x = 55,102 × 55,102
4. Step 4: Simplify right side
   25,999x = 3,036,230,404
5. Step 5: Solve for x
   x = 3,036,230,404/25,999
6. Step 6: Final answer
   x = 116,782.58