Finding the Third Proportional to 1,689.38 and 3,612.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.38 : 3,612.38 = 3,612.38 : x
2. Step 2: Convert to fraction form
   1,689.38/3,612.38 = 3,612.38/x
3. Step 3: Cross multiply
   1,689.38x = 3,612.38 × 3,612.38
4. Step 4: Simplify right side
   1,689.38x = 13,049,253.14
5. Step 5: Solve for x
   x = 13,049,253.14/1,689.38
6. Step 6: Final answer
   x = 7,724.31