Finding the Third Proportional to 817.59 and 1,732.22

Step by Step Solution

1. Step 1: Write the proportion equation
   817.59 : 1,732.22 = 1,732.22 : x
2. Step 2: Convert to fraction form
   817.59/1,732.22 = 1,732.22/x
3. Step 3: Cross multiply
   817.59x = 1,732.22 × 1,732.22
4. Step 4: Simplify right side
   817.59x = 3,000,581.80
5. Step 5: Solve for x
   x = 3,000,581.80/817.59
6. Step 6: Final answer
   x = 3,670.02