Finding the Third Proportional to 684.86 and 1,500.71

Step by Step Solution

1. Step 1: Write the proportion equation
   684.86 : 1,500.71 = 1,500.71 : x
2. Step 2: Convert to fraction form
   684.86/1,500.71 = 1,500.71/x
3. Step 3: Cross multiply
   684.86x = 1,500.71 × 1,500.71
4. Step 4: Simplify right side
   684.86x = 2,252,145.04
5. Step 5: Solve for x
   x = 2,252,145.04/684.86
6. Step 6: Final answer
   x = 3,288.47