Finding the Third Proportional to 9,782 and 13,852

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 13,852 = 13,852 : x
2. Step 2: Convert to fraction form
   9,782/13,852 = 13,852/x
3. Step 3: Cross multiply
   9,782x = 13,852 × 13,852
4. Step 4: Simplify right side
   9,782x = 191,877,904
5. Step 5: Solve for x
   x = 191,877,904/9,782
6. Step 6: Final answer
   x = 19,615.41