Finding the Third Proportional to 12,801 and 14,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,801 : 14,137.50 = 14,137.50 : x
2. Step 2: Convert to fraction form
   12,801/14,137.50 = 14,137.50/x
3. Step 3: Cross multiply
   12,801x = 14,137.50 × 14,137.50
4. Step 4: Simplify right side
   12,801x = 199,868,906.25
5. Step 5: Solve for x
   x = 199,868,906.25/12,801
6. Step 6: Final answer
   x = 15,613.54