Finding the Third Proportional to 12,702 and 20,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,702 : 20,227.50 = 20,227.50 : x
2. Step 2: Convert to fraction form
   12,702/20,227.50 = 20,227.50/x
3. Step 3: Cross multiply
   12,702x = 20,227.50 × 20,227.50
4. Step 4: Simplify right side
   12,702x = 409,151,756.25
5. Step 5: Solve for x
   x = 409,151,756.25/12,702
6. Step 6: Final answer
   x = 32,211.60