Finding the Third Proportional to 25,532 and 55,174

Step by Step Solution

1. Step 1: Write the proportion equation
   25,532 : 55,174 = 55,174 : x
2. Step 2: Convert to fraction form
   25,532/55,174 = 55,174/x
3. Step 3: Cross multiply
   25,532x = 55,174 × 55,174
4. Step 4: Simplify right side
   25,532x = 3,044,170,276
5. Step 5: Solve for x
   x = 3,044,170,276/25,532
6. Step 6: Final answer
   x = 119,229.61