Finding the Third Proportional to 682.31 and 1,423.69

Step by Step Solution

1. Step 1: Write the proportion equation
   682.31 : 1,423.69 = 1,423.69 : x
2. Step 2: Convert to fraction form
   682.31/1,423.69 = 1,423.69/x
3. Step 3: Cross multiply
   682.31x = 1,423.69 × 1,423.69
4. Step 4: Simplify right side
   682.31x = 2,026,886.10
5. Step 5: Solve for x
   x = 2,026,886.10/682.31
6. Step 6: Final answer
   x = 2,970.61