Finding the Third Proportional to 5,212.69 and 8,158.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,212.69 : 8,158.22 = 8,158.22 : x
2. Step 2: Convert to fraction form
   5,212.69/8,158.22 = 8,158.22/x
3. Step 3: Cross multiply
   5,212.69x = 8,158.22 × 8,158.22
4. Step 4: Simplify right side
   5,212.69x = 66,556,533.17
5. Step 5: Solve for x
   x = 66,556,533.17/5,212.69
6. Step 6: Final answer
   x = 12,768.18