Finding the Third Proportional to 16,782 and 33,138

Step by Step Solution

1. Step 1: Write the proportion equation
   16,782 : 33,138 = 33,138 : x
2. Step 2: Convert to fraction form
   16,782/33,138 = 33,138/x
3. Step 3: Cross multiply
   16,782x = 33,138 × 33,138
4. Step 4: Simplify right side
   16,782x = 1,098,127,044
5. Step 5: Solve for x
   x = 1,098,127,044/16,782
6. Step 6: Final answer
   x = 65,434.81