Finding the Third Proportional to 3,622.50 and 5,474.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,622.50 : 5,474.75 = 5,474.75 : x
2. Step 2: Convert to fraction form
   3,622.50/5,474.75 = 5,474.75/x
3. Step 3: Cross multiply
   3,622.50x = 5,474.75 × 5,474.75
4. Step 4: Simplify right side
   3,622.50x = 29,972,887.56
5. Step 5: Solve for x
   x = 29,972,887.56/3,622.50
6. Step 6: Final answer
   x = 8,274.09