Finding the Third Proportional to 697.31 and 1,079.06

Step by Step Solution

1. Step 1: Write the proportion equation
   697.31 : 1,079.06 = 1,079.06 : x
2. Step 2: Convert to fraction form
   697.31/1,079.06 = 1,079.06/x
3. Step 3: Cross multiply
   697.31x = 1,079.06 × 1,079.06
4. Step 4: Simplify right side
   697.31x = 1,164,375.88
5. Step 5: Solve for x
   x = 1,164,375.88/697.31
6. Step 6: Final answer
   x = 1,669.80