Finding the Third Proportional to 3,594 and 5,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,594 : 5,523.50 = 5,523.50 : x
2. Step 2: Convert to fraction form
   3,594/5,523.50 = 5,523.50/x
3. Step 3: Cross multiply
   3,594x = 5,523.50 × 5,523.50
4. Step 4: Simplify right side
   3,594x = 30,509,052.25
5. Step 5: Solve for x
   x = 30,509,052.25/3,594
6. Step 6: Final answer
   x = 8,488.88