Finding the Third Proportional to 2,353.50 and 3,646.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.50 : 3,646.13 = 3,646.13 : x
2. Step 2: Convert to fraction form
   2,353.50/3,646.13 = 3,646.13/x
3. Step 3: Cross multiply
   2,353.50x = 3,646.13 × 3,646.13
4. Step 4: Simplify right side
   2,353.50x = 13,294,227.52
5. Step 5: Solve for x
   x = 13,294,227.52/2,353.50
6. Step 6: Final answer
   x = 5,648.71