Finding the Third Proportional to 1,222.59 and 2,416.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.59 : 2,416.71 = 2,416.71 : x
2. Step 2: Convert to fraction form
   1,222.59/2,416.71 = 2,416.71/x
3. Step 3: Cross multiply
   1,222.59x = 2,416.71 × 2,416.71
4. Step 4: Simplify right side
   1,222.59x = 5,840,491.76
5. Step 5: Solve for x
   x = 5,840,491.76/1,222.59
6. Step 6: Final answer
   x = 4,777.13