Finding the Third Proportional to 7,540.75 and 16,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540.75 : 16,083.50 = 16,083.50 : x
2. Step 2: Convert to fraction form
   7,540.75/16,083.50 = 16,083.50/x
3. Step 3: Cross multiply
   7,540.75x = 16,083.50 × 16,083.50
4. Step 4: Simplify right side
   7,540.75x = 258,678,972.25
5. Step 5: Solve for x
   x = 258,678,972.25/7,540.75
6. Step 6: Final answer
   x = 34,304.14