Finding the Third Proportional to 19,682 and 30,513

Step by Step Solution

1. Step 1: Write the proportion equation
   19,682 : 30,513 = 30,513 : x
2. Step 2: Convert to fraction form
   19,682/30,513 = 30,513/x
3. Step 3: Cross multiply
   19,682x = 30,513 × 30,513
4. Step 4: Simplify right side
   19,682x = 931,043,169
5. Step 5: Solve for x
   x = 931,043,169/19,682
6. Step 6: Final answer
   x = 47,304.30