Finding the Third Proportional to 697 and 1,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   697 : 1,079.50 = 1,079.50 : x
2. Step 2: Convert to fraction form
   697/1,079.50 = 1,079.50/x
3. Step 3: Cross multiply
   697x = 1,079.50 × 1,079.50
4. Step 4: Simplify right side
   697x = 1,165,320.25
5. Step 5: Solve for x
   x = 1,165,320.25/697
6. Step 6: Final answer
   x = 1,671.91