Finding the Third Proportional to 697.50 and 1,425.38

Step by Step Solution

1. Step 1: Write the proportion equation
   697.50 : 1,425.38 = 1,425.38 : x
2. Step 2: Convert to fraction form
   697.50/1,425.38 = 1,425.38/x
3. Step 3: Cross multiply
   697.50x = 1,425.38 × 1,425.38
4. Step 4: Simplify right side
   697.50x = 2,031,693.89
5. Step 5: Solve for x
   x = 2,031,693.89/697.50
6. Step 6: Final answer
   x = 2,912.82