Finding the Third Proportional to 1,504 and 3,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504 : 3,279.50 = 3,279.50 : x
2. Step 2: Convert to fraction form
   1,504/3,279.50 = 3,279.50/x
3. Step 3: Cross multiply
   1,504x = 3,279.50 × 3,279.50
4. Step 4: Simplify right side
   1,504x = 10,755,120.25
5. Step 5: Solve for x
   x = 10,755,120.25/1,504
6. Step 6: Final answer
   x = 7,151.01