Finding the Third Proportional to 5,167.88 and 8,213.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,167.88 : 8,213.25 = 8,213.25 : x
2. Step 2: Convert to fraction form
   5,167.88/8,213.25 = 8,213.25/x
3. Step 3: Cross multiply
   5,167.88x = 8,213.25 × 8,213.25
4. Step 4: Simplify right side
   5,167.88x = 67,457,475.56
5. Step 5: Solve for x
   x = 67,457,475.56/5,167.88
6. Step 6: Final answer
   x = 13,053.23