Finding the Third Proportional to 7,286.20 and 14,663.53

Step by Step Solution

1. Step 1: Write the proportion equation
   7,286.20 : 14,663.53 = 14,663.53 : x
2. Step 2: Convert to fraction form
   7,286.20/14,663.53 = 14,663.53/x
3. Step 3: Cross multiply
   7,286.20x = 14,663.53 × 14,663.53
4. Step 4: Simplify right side
   7,286.20x = 215,019,148.72
5. Step 5: Solve for x
   x = 215,019,148.72/7,286.20
6. Step 6: Final answer
   x = 29,510.45