Finding the Third Proportional to 20,796 and 31,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,796 : 31,966.50 = 31,966.50 : x
2. Step 2: Convert to fraction form
   20,796/31,966.50 = 31,966.50/x
3. Step 3: Cross multiply
   20,796x = 31,966.50 × 31,966.50
4. Step 4: Simplify right side
   20,796x = 1,021,857,122.25
5. Step 5: Solve for x
   x = 1,021,857,122.25/20,796
6. Step 6: Final answer
   x = 49,137.20