Finding the Third Proportional to 814.69 and 1,744.88

Step by Step Solution

1. Step 1: Write the proportion equation
   814.69 : 1,744.88 = 1,744.88 : x
2. Step 2: Convert to fraction form
   814.69/1,744.88 = 1,744.88/x
3. Step 3: Cross multiply
   814.69x = 1,744.88 × 1,744.88
4. Step 4: Simplify right side
   814.69x = 3,044,588.77
5. Step 5: Solve for x
   x = 3,044,588.77/814.69
6. Step 6: Final answer
   x = 3,737.12