Finding the Third Proportional to 19,743 and 31,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,743 : 31,384.50 = 31,384.50 : x
2. Step 2: Convert to fraction form
   19,743/31,384.50 = 31,384.50/x
3. Step 3: Cross multiply
   19,743x = 31,384.50 × 31,384.50
4. Step 4: Simplify right side
   19,743x = 984,986,840.25
5. Step 5: Solve for x
   x = 984,986,840.25/19,743
6. Step 6: Final answer
   x = 49,890.43