Finding the Third Proportional to 25,632 and 55,214

Step by Step Solution

1. Step 1: Write the proportion equation
   25,632 : 55,214 = 55,214 : x
2. Step 2: Convert to fraction form
   25,632/55,214 = 55,214/x
3. Step 3: Cross multiply
   25,632x = 55,214 × 55,214
4. Step 4: Simplify right side
   25,632x = 3,048,585,796
5. Step 5: Solve for x
   x = 3,048,585,796/25,632
6. Step 6: Final answer
   x = 118,936.71