Finding the Third Proportional to 6,920.13 and 10,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,920.13 : 10,744.50 = 10,744.50 : x
2. Step 2: Convert to fraction form
   6,920.13/10,744.50 = 10,744.50/x
3. Step 3: Cross multiply
   6,920.13x = 10,744.50 × 10,744.50
4. Step 4: Simplify right side
   6,920.13x = 115,444,280.25
5. Step 5: Solve for x
   x = 115,444,280.25/6,920.13
6. Step 6: Final answer
   x = 16,682.40