Finding the Third Proportional to 5,533.50 and 8,346.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,533.50 : 8,346.56 = 8,346.56 : x
2. Step 2: Convert to fraction form
   5,533.50/8,346.56 = 8,346.56/x
3. Step 3: Cross multiply
   5,533.50x = 8,346.56 × 8,346.56
4. Step 4: Simplify right side
   5,533.50x = 69,665,105.57
5. Step 5: Solve for x
   x = 69,665,105.57/5,533.50
6. Step 6: Final answer
   x = 12,589.70