Finding the Third Proportional to 5,174.37 and 8,196.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,174.37 : 8,196.96 = 8,196.96 : x
2. Step 2: Convert to fraction form
   5,174.37/8,196.96 = 8,196.96/x
3. Step 3: Cross multiply
   5,174.37x = 8,196.96 × 8,196.96
4. Step 4: Simplify right side
   5,174.37x = 67,190,168.61
5. Step 5: Solve for x
   x = 67,190,168.61/5,174.37
6. Step 6: Final answer
   x = 12,985.20