Finding the Third Proportional to 1,000.69 and 1,315.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000.69 : 1,315.41 = 1,315.41 : x
2. Step 2: Convert to fraction form
   1,000.69/1,315.41 = 1,315.41/x
3. Step 3: Cross multiply
   1,000.69x = 1,315.41 × 1,315.41
4. Step 4: Simplify right side
   1,000.69x = 1,730,293.60
5. Step 5: Solve for x
   x = 1,730,293.60/1,000.69
6. Step 6: Final answer
   x = 1,729.10