Finding the Third Proportional to 10,083 and 13,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083 : 13,747.50 = 13,747.50 : x
2. Step 2: Convert to fraction form
   10,083/13,747.50 = 13,747.50/x
3. Step 3: Cross multiply
   10,083x = 13,747.50 × 13,747.50
4. Step 4: Simplify right side
   10,083x = 188,993,756.25
5. Step 5: Solve for x
   x = 188,993,756.25/10,083
6. Step 6: Final answer
   x = 18,743.80