Finding the Third Proportional to 1,582.88 and 3,398.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.88 : 3,398.63 = 3,398.63 : x
2. Step 2: Convert to fraction form
   1,582.88/3,398.63 = 3,398.63/x
3. Step 3: Cross multiply
   1,582.88x = 3,398.63 × 3,398.63
4. Step 4: Simplify right side
   1,582.88x = 11,550,651.89
5. Step 5: Solve for x
   x = 11,550,651.89/1,582.88
6. Step 6: Final answer
   x = 7,297.26