Finding the Third Proportional to 19,782 and 30,729

Step by Step Solution

1. Step 1: Write the proportion equation
   19,782 : 30,729 = 30,729 : x
2. Step 2: Convert to fraction form
   19,782/30,729 = 30,729/x
3. Step 3: Cross multiply
   19,782x = 30,729 × 30,729
4. Step 4: Simplify right side
   19,782x = 944,271,441
5. Step 5: Solve for x
   x = 944,271,441/19,782
6. Step 6: Final answer
   x = 47,733.87