Finding the Third Proportional to 5,071.36 and 8,101.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,071.36 : 8,101.27 = 8,101.27 : x
2. Step 2: Convert to fraction form
   5,071.36/8,101.27 = 8,101.27/x
3. Step 3: Cross multiply
   5,071.36x = 8,101.27 × 8,101.27
4. Step 4: Simplify right side
   5,071.36x = 65,630,504.73
5. Step 5: Solve for x
   x = 65,630,504.73/5,071.36
6. Step 6: Final answer
   x = 12,941.40