Finding the Third Proportional to 20,306 and 31,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,306 : 31,563.50 = 31,563.50 : x
2. Step 2: Convert to fraction form
   20,306/31,563.50 = 31,563.50/x
3. Step 3: Cross multiply
   20,306x = 31,563.50 × 31,563.50
4. Step 4: Simplify right side
   20,306x = 996,254,532.25
5. Step 5: Solve for x
   x = 996,254,532.25/20,306
6. Step 6: Final answer
   x = 49,062.08