Finding the Third Proportional to 20,446 and 30,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,446 : 30,770.50 = 30,770.50 : x
2. Step 2: Convert to fraction form
   20,446/30,770.50 = 30,770.50/x
3. Step 3: Cross multiply
   20,446x = 30,770.50 × 30,770.50
4. Step 4: Simplify right side
   20,446x = 946,823,670.25
5. Step 5: Solve for x
   x = 946,823,670.25/20,446
6. Step 6: Final answer
   x = 46,308.50