Finding the Third Proportional to 10,827 and 17,982

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 17,982 = 17,982 : x
2. Step 2: Convert to fraction form
   10,827/17,982 = 17,982/x
3. Step 3: Cross multiply
   10,827x = 17,982 × 17,982
4. Step 4: Simplify right side
   10,827x = 323,352,324
5. Step 5: Solve for x
   x = 323,352,324/10,827
6. Step 6: Final answer
   x = 29,865.37