Finding the Third Proportional to 5,086.13 and 12,269.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,086.13 : 12,269.81 = 12,269.81 : x
2. Step 2: Convert to fraction form
   5,086.13/12,269.81 = 12,269.81/x
3. Step 3: Cross multiply
   5,086.13x = 12,269.81 × 12,269.81
4. Step 4: Simplify right side
   5,086.13x = 150,548,298.79
5. Step 5: Solve for x
   x = 150,548,298.79/5,086.13
6. Step 6: Final answer
   x = 29,599.80