Finding the Third Proportional to 2,705.91 and 5,869.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.91 : 5,869.97 = 5,869.97 : x
2. Step 2: Convert to fraction form
   2,705.91/5,869.97 = 5,869.97/x
3. Step 3: Cross multiply
   2,705.91x = 5,869.97 × 5,869.97
4. Step 4: Simplify right side
   2,705.91x = 34,456,533.13
5. Step 5: Solve for x
   x = 34,456,533.13/2,705.91
6. Step 6: Final answer
   x = 12,733.82