Finding the Third Proportional to 2,274.33 and 5,006.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274.33 : 5,006.81 = 5,006.81 : x
2. Step 2: Convert to fraction form
   2,274.33/5,006.81 = 5,006.81/x
3. Step 3: Cross multiply
   2,274.33x = 5,006.81 × 5,006.81
4. Step 4: Simplify right side
   2,274.33x = 25,068,171.41
5. Step 5: Solve for x
   x = 25,068,171.41/2,274.33
6. Step 6: Final answer
   x = 11,022.23