Finding the Third Proportional to 823.59 and 1,773.12

Step by Step Solution

1. Step 1: Write the proportion equation
   823.59 : 1,773.12 = 1,773.12 : x
2. Step 2: Convert to fraction form
   823.59/1,773.12 = 1,773.12/x
3. Step 3: Cross multiply
   823.59x = 1,773.12 × 1,773.12
4. Step 4: Simplify right side
   823.59x = 3,143,944.56
5. Step 5: Solve for x
   x = 3,143,944.56/823.59
6. Step 6: Final answer
   x = 3,817.35