Finding the Third Proportional to 25,896 and 55,026

Step by Step Solution

1. Step 1: Write the proportion equation
   25,896 : 55,026 = 55,026 : x
2. Step 2: Convert to fraction form
   25,896/55,026 = 55,026/x
3. Step 3: Cross multiply
   25,896x = 55,026 × 55,026
4. Step 4: Simplify right side
   25,896x = 3,027,860,676
5. Step 5: Solve for x
   x = 3,027,860,676/25,896
6. Step 6: Final answer
   x = 116,923.88