Finding the Third Proportional to 3,523.50 and 5,285.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,523.50 : 5,285.25 = 5,285.25 : x
2. Step 2: Convert to fraction form
   3,523.50/5,285.25 = 5,285.25/x
3. Step 3: Cross multiply
   3,523.50x = 5,285.25 × 5,285.25
4. Step 4: Simplify right side
   3,523.50x = 27,933,867.56
5. Step 5: Solve for x
   x = 27,933,867.56/3,523.50
6. Step 6: Final answer
   x = 7,927.88