Finding the Third Proportional to 5,359.50 and 8,415.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,359.50 : 8,415.56 = 8,415.56 : x
2. Step 2: Convert to fraction form
   5,359.50/8,415.56 = 8,415.56/x
3. Step 3: Cross multiply
   5,359.50x = 8,415.56 × 8,415.56
4. Step 4: Simplify right side
   5,359.50x = 70,821,692.19
5. Step 5: Solve for x
   x = 70,821,692.19/5,359.50
6. Step 6: Final answer
   x = 13,214.23