Finding the Third Proportional to 2,214.53 and 4,605.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,214.53 : 4,605.61 = 4,605.61 : x
2. Step 2: Convert to fraction form
   2,214.53/4,605.61 = 4,605.61/x
3. Step 3: Cross multiply
   2,214.53x = 4,605.61 × 4,605.61
4. Step 4: Simplify right side
   2,214.53x = 21,211,637.72
5. Step 5: Solve for x
   x = 21,211,637.72/2,214.53
6. Step 6: Final answer
   x = 9,578.40