Finding the Third Proportional to 20,769 and 31,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,769 : 31,369.50 = 31,369.50 : x
2. Step 2: Convert to fraction form
   20,769/31,369.50 = 31,369.50/x
3. Step 3: Cross multiply
   20,769x = 31,369.50 × 31,369.50
4. Step 4: Simplify right side
   20,769x = 984,045,530.25
5. Step 5: Solve for x
   x = 984,045,530.25/20,769
6. Step 6: Final answer
   x = 47,380.50