Finding the Third Proportional to 9,782 and 13,938

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 13,938 = 13,938 : x
2. Step 2: Convert to fraction form
   9,782/13,938 = 13,938/x
3. Step 3: Cross multiply
   9,782x = 13,938 × 13,938
4. Step 4: Simplify right side
   9,782x = 194,267,844
5. Step 5: Solve for x
   x = 194,267,844/9,782
6. Step 6: Final answer
   x = 19,859.73