Finding the Third Proportional to 1,021.50 and 2,098.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.50 : 2,098.13 = 2,098.13 : x
2. Step 2: Convert to fraction form
   1,021.50/2,098.13 = 2,098.13/x
3. Step 3: Cross multiply
   1,021.50x = 2,098.13 × 2,098.13
4. Step 4: Simplify right side
   1,021.50x = 4,402,128.52
5. Step 5: Solve for x
   x = 4,402,128.52/1,021.50
6. Step 6: Final answer
   x = 4,309.47