Finding the Third Proportional to 1,039.50 and 1,602.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,039.50 : 1,602.28 = 1,602.28 : x
2. Step 2: Convert to fraction form
   1,039.50/1,602.28 = 1,602.28/x
3. Step 3: Cross multiply
   1,039.50x = 1,602.28 × 1,602.28
4. Step 4: Simplify right side
   1,039.50x = 2,567,305.20
5. Step 5: Solve for x
   x = 2,567,305.20/1,039.50
6. Step 6: Final answer
   x = 2,469.75