Finding the Third Proportional to 773.72 and 1,624.22

Step by Step Solution

1. Step 1: Write the proportion equation
   773.72 : 1,624.22 = 1,624.22 : x
2. Step 2: Convert to fraction form
   773.72/1,624.22 = 1,624.22/x
3. Step 3: Cross multiply
   773.72x = 1,624.22 × 1,624.22
4. Step 4: Simplify right side
   773.72x = 2,638,086.55
5. Step 5: Solve for x
   x = 2,638,086.55/773.72
6. Step 6: Final answer
   x = 3,409.62