Finding the Third Proportional to 19,824.75 and 30,682.13

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824.75 : 30,682.13 = 30,682.13 : x
2. Step 2: Convert to fraction form
   19,824.75/30,682.13 = 30,682.13/x
3. Step 3: Cross multiply
   19,824.75x = 30,682.13 × 30,682.13
4. Step 4: Simplify right side
   19,824.75x = 941,392,794.52
5. Step 5: Solve for x
   x = 941,392,794.52/19,824.75
6. Step 6: Final answer
   x = 47,485.73