Finding the Third Proportional to 25,628 and 55,206

Step by Step Solution

1. Step 1: Write the proportion equation
   25,628 : 55,206 = 55,206 : x
2. Step 2: Convert to fraction form
   25,628/55,206 = 55,206/x
3. Step 3: Cross multiply
   25,628x = 55,206 × 55,206
4. Step 4: Simplify right side
   25,628x = 3,047,702,436
5. Step 5: Solve for x
   x = 3,047,702,436/25,628
6. Step 6: Final answer
   x = 118,920.81