Finding the Third Proportional to 6,869.81 and 10,543.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,869.81 : 10,543.92 = 10,543.92 : x
2. Step 2: Convert to fraction form
   6,869.81/10,543.92 = 10,543.92/x
3. Step 3: Cross multiply
   6,869.81x = 10,543.92 × 10,543.92
4. Step 4: Simplify right side
   6,869.81x = 111,174,288.51
5. Step 5: Solve for x
   x = 111,174,288.51/6,869.81
6. Step 6: Final answer
   x = 16,183.02