Finding the Third Proportional to 2,998.27 and 4,661.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,998.27 : 4,661.30 = 4,661.30 : x
2. Step 2: Convert to fraction form
   2,998.27/4,661.30 = 4,661.30/x
3. Step 3: Cross multiply
   2,998.27x = 4,661.30 × 4,661.30
4. Step 4: Simplify right side
   2,998.27x = 21,727,688.56
5. Step 5: Solve for x
   x = 21,727,688.56/2,998.27
6. Step 6: Final answer
   x = 7,246.75