Finding the Third Proportional to 2,405.50 and 3,615.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.50 : 3,615.31 = 3,615.31 : x
2. Step 2: Convert to fraction form
   2,405.50/3,615.31 = 3,615.31/x
3. Step 3: Cross multiply
   2,405.50x = 3,615.31 × 3,615.31
4. Step 4: Simplify right side
   2,405.50x = 13,070,484.47
5. Step 5: Solve for x
   x = 13,070,484.47/2,405.50
6. Step 6: Final answer
   x = 5,433.58