Finding the Third Proportional to 2,098.50 and 4,610

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.50 : 4,610 = 4,610 : x
2. Step 2: Convert to fraction form
   2,098.50/4,610 = 4,610/x
3. Step 3: Cross multiply
   2,098.50x = 4,610 × 4,610
4. Step 4: Simplify right side
   2,098.50x = 21,252,100
5. Step 5: Solve for x
   x = 21,252,100/2,098.50
6. Step 6: Final answer
   x = 10,127.28