Finding the Third Proportional to 3,363.19 and 4,616.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,363.19 : 4,616.72 = 4,616.72 : x
2. Step 2: Convert to fraction form
   3,363.19/4,616.72 = 4,616.72/x
3. Step 3: Cross multiply
   3,363.19x = 4,616.72 × 4,616.72
4. Step 4: Simplify right side
   3,363.19x = 21,314,092.02
5. Step 5: Solve for x
   x = 21,314,092.02/3,363.19
6. Step 6: Final answer
   x = 6,337.47