Finding the Third Proportional to 7,086 and 10,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,086 : 10,822.50 = 10,822.50 : x
2. Step 2: Convert to fraction form
   7,086/10,822.50 = 10,822.50/x
3. Step 3: Cross multiply
   7,086x = 10,822.50 × 10,822.50
4. Step 4: Simplify right side
   7,086x = 117,126,506.25
5. Step 5: Solve for x
   x = 117,126,506.25/7,086
6. Step 6: Final answer
   x = 16,529.28