Finding the Third Proportional to 6,840 and 10,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840 : 10,549.50 = 10,549.50 : x
2. Step 2: Convert to fraction form
   6,840/10,549.50 = 10,549.50/x
3. Step 3: Cross multiply
   6,840x = 10,549.50 × 10,549.50
4. Step 4: Simplify right side
   6,840x = 111,291,950.25
5. Step 5: Solve for x
   x = 111,291,950.25/6,840
6. Step 6: Final answer
   x = 16,270.75