Finding the Third Proportional to 1,582.88 and 2,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.88 : 2,365.50 = 2,365.50 : x
2. Step 2: Convert to fraction form
   1,582.88/2,365.50 = 2,365.50/x
3. Step 3: Cross multiply
   1,582.88x = 2,365.50 × 2,365.50
4. Step 4: Simplify right side
   1,582.88x = 5,595,590.25
5. Step 5: Solve for x
   x = 5,595,590.25/1,582.88
6. Step 6: Final answer
   x = 3,535.08