Finding the Third Proportional to 20,420 and 30,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,420 : 30,749.50 = 30,749.50 : x
2. Step 2: Convert to fraction form
   20,420/30,749.50 = 30,749.50/x
3. Step 3: Cross multiply
   20,420x = 30,749.50 × 30,749.50
4. Step 4: Simplify right side
   20,420x = 945,531,750.25
5. Step 5: Solve for x
   x = 945,531,750.25/20,420
6. Step 6: Final answer
   x = 46,304.20