Finding the Third Proportional to 20,205 and 31,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,205 : 31,909.50 = 31,909.50 : x
2. Step 2: Convert to fraction form
   20,205/31,909.50 = 31,909.50/x
3. Step 3: Cross multiply
   20,205x = 31,909.50 × 31,909.50
4. Step 4: Simplify right side
   20,205x = 1,018,216,190.25
5. Step 5: Solve for x
   x = 1,018,216,190.25/20,205
6. Step 6: Final answer
   x = 50,394.27