Finding the Third Proportional to 1,582.31 and 2,397.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.31 : 2,397.09 = 2,397.09 : x
2. Step 2: Convert to fraction form
   1,582.31/2,397.09 = 2,397.09/x
3. Step 3: Cross multiply
   1,582.31x = 2,397.09 × 2,397.09
4. Step 4: Simplify right side
   1,582.31x = 5,746,058.45
5. Step 5: Solve for x
   x = 5,746,058.45/1,582.31
6. Step 6: Final answer
   x = 3,631.43