Finding the Third Proportional to 5,905.50 and 9,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,905.50 : 9,016.50 = 9,016.50 : x
2. Step 2: Convert to fraction form
   5,905.50/9,016.50 = 9,016.50/x
3. Step 3: Cross multiply
   5,905.50x = 9,016.50 × 9,016.50
4. Step 4: Simplify right side
   5,905.50x = 81,297,272.25
5. Step 5: Solve for x
   x = 81,297,272.25/5,905.50
6. Step 6: Final answer
   x = 13,766.37