Finding the Third Proportional to 814.55 and 1,774.59

Step by Step Solution

1. Step 1: Write the proportion equation
   814.55 : 1,774.59 = 1,774.59 : x
2. Step 2: Convert to fraction form
   814.55/1,774.59 = 1,774.59/x
3. Step 3: Cross multiply
   814.55x = 1,774.59 × 1,774.59
4. Step 4: Simplify right side
   814.55x = 3,149,182.98
5. Step 5: Solve for x
   x = 3,149,182.98/814.55
6. Step 6: Final answer
   x = 3,866.18