Finding the Third Proportional to 697.69 and 1,045.78

Step by Step Solution

1. Step 1: Write the proportion equation
   697.69 : 1,045.78 = 1,045.78 : x
2. Step 2: Convert to fraction form
   697.69/1,045.78 = 1,045.78/x
3. Step 3: Cross multiply
   697.69x = 1,045.78 × 1,045.78
4. Step 4: Simplify right side
   697.69x = 1,093,658.42
5. Step 5: Solve for x
   x = 1,093,658.42/697.69
6. Step 6: Final answer
   x = 1,567.55