Finding the Third Proportional to 25,600 and 55,216

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 55,216 = 55,216 : x
2. Step 2: Convert to fraction form
   25,600/55,216 = 55,216/x
3. Step 3: Cross multiply
   25,600x = 55,216 × 55,216
4. Step 4: Simplify right side
   25,600x = 3,048,806,656
5. Step 5: Solve for x
   x = 3,048,806,656/25,600
6. Step 6: Final answer
   x = 119,094.01