Finding the Third Proportional to 2,859.05 and 7,705.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,859.05 : 7,705.76 = 7,705.76 : x
2. Step 2: Convert to fraction form
   2,859.05/7,705.76 = 7,705.76/x
3. Step 3: Cross multiply
   2,859.05x = 7,705.76 × 7,705.76
4. Step 4: Simplify right side
   2,859.05x = 59,378,703.46
5. Step 5: Solve for x
   x = 59,378,703.46/2,859.05
6. Step 6: Final answer
   x = 20,768.71