Finding the Third Proportional to 25,864 and 55,120

Step by Step Solution

1. Step 1: Write the proportion equation
   25,864 : 55,120 = 55,120 : x
2. Step 2: Convert to fraction form
   25,864/55,120 = 55,120/x
3. Step 3: Cross multiply
   25,864x = 55,120 × 55,120
4. Step 4: Simplify right side
   25,864x = 3,038,214,400
5. Step 5: Solve for x
   x = 3,038,214,400/25,864
6. Step 6: Final answer
   x = 117,468.85