Finding the Third Proportional to 3,523.50 and 5,463.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,523.50 : 5,463.56 = 5,463.56 : x
2. Step 2: Convert to fraction form
   3,523.50/5,463.56 = 5,463.56/x
3. Step 3: Cross multiply
   3,523.50x = 5,463.56 × 5,463.56
4. Step 4: Simplify right side
   3,523.50x = 29,850,515.19
5. Step 5: Solve for x
   x = 29,850,515.19/3,523.50
6. Step 6: Final answer
   x = 8,471.84