Finding the Third Proportional to 10,782 and 17,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 17,146.50 = 17,146.50 : x
2. Step 2: Convert to fraction form
   10,782/17,146.50 = 17,146.50/x
3. Step 3: Cross multiply
   10,782x = 17,146.50 × 17,146.50
4. Step 4: Simplify right side
   10,782x = 294,002,462.25
5. Step 5: Solve for x
   x = 294,002,462.25/10,782
6. Step 6: Final answer
   x = 27,267.90