Finding the Third Proportional to 6,304.50 and 9,536.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,304.50 : 9,536.06 = 9,536.06 : x
2. Step 2: Convert to fraction form
   6,304.50/9,536.06 = 9,536.06/x
3. Step 3: Cross multiply
   6,304.50x = 9,536.06 × 9,536.06
4. Step 4: Simplify right side
   6,304.50x = 90,936,488.00
5. Step 5: Solve for x
   x = 90,936,488.00/6,304.50
6. Step 6: Final answer
   x = 14,424.06