Finding the Third Proportional to 10,033.50 and 14,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,033.50 : 14,137.50 = 14,137.50 : x
2. Step 2: Convert to fraction form
   10,033.50/14,137.50 = 14,137.50/x
3. Step 3: Cross multiply
   10,033.50x = 14,137.50 × 14,137.50
4. Step 4: Simplify right side
   10,033.50x = 199,868,906.25
5. Step 5: Solve for x
   x = 199,868,906.25/10,033.50
6. Step 6: Final answer
   x = 19,920.16