Finding the Third Proportional to 19,825 and 30,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,825 : 30,733.50 = 30,733.50 : x
2. Step 2: Convert to fraction form
   19,825/30,733.50 = 30,733.50/x
3. Step 3: Cross multiply
   19,825x = 30,733.50 × 30,733.50
4. Step 4: Simplify right side
   19,825x = 944,548,022.25
5. Step 5: Solve for x
   x = 944,548,022.25/19,825
6. Step 6: Final answer
   x = 47,644.29