Finding the Third Proportional to 5,166.28 and 8,213.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,166.28 : 8,213.91 = 8,213.91 : x
2. Step 2: Convert to fraction form
   5,166.28/8,213.91 = 8,213.91/x
3. Step 3: Cross multiply
   5,166.28x = 8,213.91 × 8,213.91
4. Step 4: Simplify right side
   5,166.28x = 67,468,255.88
5. Step 5: Solve for x
   x = 67,468,255.88/5,166.28
6. Step 6: Final answer
   x = 13,059.35