Finding the Third Proportional to 12,801 and 20,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,801 : 20,037.50 = 20,037.50 : x
2. Step 2: Convert to fraction form
   12,801/20,037.50 = 20,037.50/x
3. Step 3: Cross multiply
   12,801x = 20,037.50 × 20,037.50
4. Step 4: Simplify right side
   12,801x = 401,501,406.25
5. Step 5: Solve for x
   x = 401,501,406.25/12,801
6. Step 6: Final answer
   x = 31,364.85