Finding the Third Proportional to 11,784 and 17,982

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784 : 17,982 = 17,982 : x
2. Step 2: Convert to fraction form
   11,784/17,982 = 17,982/x
3. Step 3: Cross multiply
   11,784x = 17,982 × 17,982
4. Step 4: Simplify right side
   11,784x = 323,352,324
5. Step 5: Solve for x
   x = 323,352,324/11,784
6. Step 6: Final answer
   x = 27,439.95