Finding the Third Proportional to 7,049.25 and 14,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,049.25 : 14,638.50 = 14,638.50 : x
2. Step 2: Convert to fraction form
   7,049.25/14,638.50 = 14,638.50/x
3. Step 3: Cross multiply
   7,049.25x = 14,638.50 × 14,638.50
4. Step 4: Simplify right side
   7,049.25x = 214,285,682.25
5. Step 5: Solve for x
   x = 214,285,682.25/7,049.25
6. Step 6: Final answer
   x = 30,398.37