Finding the Third Proportional to 5,916 and 8,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,916 : 8,404.50 = 8,404.50 : x
2. Step 2: Convert to fraction form
   5,916/8,404.50 = 8,404.50/x
3. Step 3: Cross multiply
   5,916x = 8,404.50 × 8,404.50
4. Step 4: Simplify right side
   5,916x = 70,635,620.25
5. Step 5: Solve for x
   x = 70,635,620.25/5,916
6. Step 6: Final answer
   x = 11,939.76