Finding the Third Proportional to 20,810 and 31,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,810 : 31,909.50 = 31,909.50 : x
2. Step 2: Convert to fraction form
   20,810/31,909.50 = 31,909.50/x
3. Step 3: Cross multiply
   20,810x = 31,909.50 × 31,909.50
4. Step 4: Simplify right side
   20,810x = 1,018,216,190.25
5. Step 5: Solve for x
   x = 1,018,216,190.25/20,810
6. Step 6: Final answer
   x = 48,929.18