Finding the Third Proportional to 10,137 and 14,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137 : 14,182.50 = 14,182.50 : x
2. Step 2: Convert to fraction form
   10,137/14,182.50 = 14,182.50/x
3. Step 3: Cross multiply
   10,137x = 14,182.50 × 14,182.50
4. Step 4: Simplify right side
   10,137x = 201,143,306.25
5. Step 5: Solve for x
   x = 201,143,306.25/10,137
6. Step 6: Final answer
   x = 19,842.49