Finding the Third Proportional to 6,741 and 10,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,741 : 10,494.50 = 10,494.50 : x
2. Step 2: Convert to fraction form
   6,741/10,494.50 = 10,494.50/x
3. Step 3: Cross multiply
   6,741x = 10,494.50 × 10,494.50
4. Step 4: Simplify right side
   6,741x = 110,134,530.25
5. Step 5: Solve for x
   x = 110,134,530.25/6,741
6. Step 6: Final answer
   x = 16,338.01