Finding the Third Proportional to 1,582.88 and 3,430.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.88 : 3,430.69 = 3,430.69 : x
2. Step 2: Convert to fraction form
   1,582.88/3,430.69 = 3,430.69/x
3. Step 3: Cross multiply
   1,582.88x = 3,430.69 × 3,430.69
4. Step 4: Simplify right side
   1,582.88x = 11,769,616.72
5. Step 5: Solve for x
   x = 11,769,616.72/1,582.88
6. Step 6: Final answer
   x = 7,435.59