Finding the Third Proportional to 723.84 and 1,411.69

Step by Step Solution

1. Step 1: Write the proportion equation
   723.84 : 1,411.69 = 1,411.69 : x
2. Step 2: Convert to fraction form
   723.84/1,411.69 = 1,411.69/x
3. Step 3: Cross multiply
   723.84x = 1,411.69 × 1,411.69
4. Step 4: Simplify right side
   723.84x = 1,992,861.60
5. Step 5: Solve for x
   x = 1,992,861.60/723.84
6. Step 6: Final answer
   x = 2,753.17