Finding the Third Proportional to 2,461.96 and 3,684.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.96 : 3,684.23 = 3,684.23 : x
2. Step 2: Convert to fraction form
   2,461.96/3,684.23 = 3,684.23/x
3. Step 3: Cross multiply
   2,461.96x = 3,684.23 × 3,684.23
4. Step 4: Simplify right side
   2,461.96x = 13,573,582.93
5. Step 5: Solve for x
   x = 13,573,582.93/2,461.96
6. Step 6: Final answer
   x = 5,513.33