Finding the Third Proportional to 2,098.72 and 4,416.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.72 : 4,416.71 = 4,416.71 : x
2. Step 2: Convert to fraction form
   2,098.72/4,416.71 = 4,416.71/x
3. Step 3: Cross multiply
   2,098.72x = 4,416.71 × 4,416.71
4. Step 4: Simplify right side
   2,098.72x = 19,507,370.01
5. Step 5: Solve for x
   x = 19,507,370.01/2,098.72
6. Step 6: Final answer
   x = 9,294.88