Finding the Third Proportional to 2,333.81 and 3,613.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,333.81 : 3,613.57 = 3,613.57 : x
2. Step 2: Convert to fraction form
   2,333.81/3,613.57 = 3,613.57/x
3. Step 3: Cross multiply
   2,333.81x = 3,613.57 × 3,613.57
4. Step 4: Simplify right side
   2,333.81x = 13,057,890.40
5. Step 5: Solve for x
   x = 13,057,890.40/2,333.81
6. Step 6: Final answer
   x = 5,595.09