Finding the Third Proportional to 271.69 and 521.72

Step by Step Solution

1. Step 1: Write the proportion equation
   271.69 : 521.72 = 521.72 : x
2. Step 2: Convert to fraction form
   271.69/521.72 = 521.72/x
3. Step 3: Cross multiply
   271.69x = 521.72 × 521.72
4. Step 4: Simplify right side
   271.69x = 272,190.45
5. Step 5: Solve for x
   x = 272,190.45/271.69
6. Step 6: Final answer
   x = 1,001.85