Finding the Third Proportional to 517.50 and 1,137.38

Step by Step Solution

1. Step 1: Write the proportion equation
   517.50 : 1,137.38 = 1,137.38 : x
2. Step 2: Convert to fraction form
   517.50/1,137.38 = 1,137.38/x
3. Step 3: Cross multiply
   517.50x = 1,137.38 × 1,137.38
4. Step 4: Simplify right side
   517.50x = 1,293,621.89
5. Step 5: Solve for x
   x = 1,293,621.89/517.50
6. Step 6: Final answer
   x = 2,499.75