Finding the Third Proportional to 6,142.50 and 9,504

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.50 : 9,504 = 9,504 : x
2. Step 2: Convert to fraction form
   6,142.50/9,504 = 9,504/x
3. Step 3: Cross multiply
   6,142.50x = 9,504 × 9,504
4. Step 4: Simplify right side
   6,142.50x = 90,326,016
5. Step 5: Solve for x
   x = 90,326,016/6,142.50
6. Step 6: Final answer
   x = 14,705.09