Finding the Third Proportional to 1,024.68 and 2,097.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.68 : 2,097.30 = 2,097.30 : x
2. Step 2: Convert to fraction form
   1,024.68/2,097.30 = 2,097.30/x
3. Step 3: Cross multiply
   1,024.68x = 2,097.30 × 2,097.30
4. Step 4: Simplify right side
   1,024.68x = 4,398,662.37
5. Step 5: Solve for x
   x = 4,398,662.37/1,024.68
6. Step 6: Final answer
   x = 4,292.71