Finding the Third Proportional to 5,419.50 and 12,771.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,419.50 : 12,771.75 = 12,771.75 : x
2. Step 2: Convert to fraction form
   5,419.50/12,771.75 = 12,771.75/x
3. Step 3: Cross multiply
   5,419.50x = 12,771.75 × 12,771.75
4. Step 4: Simplify right side
   5,419.50x = 163,117,598.06
5. Step 5: Solve for x
   x = 163,117,598.06/5,419.50
6. Step 6: Final answer
   x = 30,098.27