Finding the Third Proportional to 684.56 and 1,022.91

Step by Step Solution

1. Step 1: Write the proportion equation
   684.56 : 1,022.91 = 1,022.91 : x
2. Step 2: Convert to fraction form
   684.56/1,022.91 = 1,022.91/x
3. Step 3: Cross multiply
   684.56x = 1,022.91 × 1,022.91
4. Step 4: Simplify right side
   684.56x = 1,046,337.20
5. Step 5: Solve for x
   x = 1,046,337.20/684.56
6. Step 6: Final answer
   x = 1,528.48