Finding the Third Proportional to 1,036.50 and 1,579.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.50 : 1,579.88 = 1,579.88 : x
2. Step 2: Convert to fraction form
   1,036.50/1,579.88 = 1,579.88/x
3. Step 3: Cross multiply
   1,036.50x = 1,579.88 × 1,579.88
4. Step 4: Simplify right side
   1,036.50x = 2,496,005.02
5. Step 5: Solve for x
   x = 2,496,005.02/1,036.50
6. Step 6: Final answer
   x = 2,408.11