Finding the Third Proportional to 2,646.42 and 3,633.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.42 : 3,633.61 = 3,633.61 : x
2. Step 2: Convert to fraction form
   2,646.42/3,633.61 = 3,633.61/x
3. Step 3: Cross multiply
   2,646.42x = 3,633.61 × 3,633.61
4. Step 4: Simplify right side
   2,646.42x = 13,203,117.09
5. Step 5: Solve for x
   x = 13,203,117.09/2,646.42
6. Step 6: Final answer
   x = 4,989.04