Finding the Third Proportional to 1,105.50 and 2,982

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.50 : 2,982 = 2,982 : x
2. Step 2: Convert to fraction form
   1,105.50/2,982 = 2,982/x
3. Step 3: Cross multiply
   1,105.50x = 2,982 × 2,982
4. Step 4: Simplify right side
   1,105.50x = 8,892,324
5. Step 5: Solve for x
   x = 8,892,324/1,105.50
6. Step 6: Final answer
   x = 8,043.71