Finding the Third Proportional to 1,642.39 and 3,464.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.39 : 3,464.17 = 3,464.17 : x
2. Step 2: Convert to fraction form
   1,642.39/3,464.17 = 3,464.17/x
3. Step 3: Cross multiply
   1,642.39x = 3,464.17 × 3,464.17
4. Step 4: Simplify right side
   1,642.39x = 12,000,500.31
5. Step 5: Solve for x
   x = 12,000,500.31/1,642.39
6. Step 6: Final answer
   x = 7,306.75