Finding the Third Proportional to 5,402.06 and 8,212.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,402.06 : 8,212.31 = 8,212.31 : x
2. Step 2: Convert to fraction form
   5,402.06/8,212.31 = 8,212.31/x
3. Step 3: Cross multiply
   5,402.06x = 8,212.31 × 8,212.31
4. Step 4: Simplify right side
   5,402.06x = 67,442,076.60
5. Step 5: Solve for x
   x = 67,442,076.60/5,402.06
6. Step 6: Final answer
   x = 12,484.51