Finding the Third Proportional to 13,141.50 and 20,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,141.50 : 20,806.50 = 20,806.50 : x
2. Step 2: Convert to fraction form
   13,141.50/20,806.50 = 20,806.50/x
3. Step 3: Cross multiply
   13,141.50x = 20,806.50 × 20,806.50
4. Step 4: Simplify right side
   13,141.50x = 432,910,442.25
5. Step 5: Solve for x
   x = 432,910,442.25/13,141.50
6. Step 6: Final answer
   x = 32,942.24