Finding the Third Proportional to 707 and 1,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   707 : 1,082.50 = 1,082.50 : x
2. Step 2: Convert to fraction form
   707/1,082.50 = 1,082.50/x
3. Step 3: Cross multiply
   707x = 1,082.50 × 1,082.50
4. Step 4: Simplify right side
   707x = 1,171,806.25
5. Step 5: Solve for x
   x = 1,171,806.25/707
6. Step 6: Final answer
   x = 1,657.43