Finding the Third Proportional to 686.25 and 1,461.38

Step by Step Solution

1. Step 1: Write the proportion equation
   686.25 : 1,461.38 = 1,461.38 : x
2. Step 2: Convert to fraction form
   686.25/1,461.38 = 1,461.38/x
3. Step 3: Cross multiply
   686.25x = 1,461.38 × 1,461.38
4. Step 4: Simplify right side
   686.25x = 2,135,616.89
5. Step 5: Solve for x
   x = 2,135,616.89/686.25
6. Step 6: Final answer
   x = 3,112.01