Finding the Third Proportional to 3,867.12 and 7,705.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,867.12 : 7,705.76 = 7,705.76 : x
2. Step 2: Convert to fraction form
   3,867.12/7,705.76 = 7,705.76/x
3. Step 3: Cross multiply
   3,867.12x = 7,705.76 × 7,705.76
4. Step 4: Simplify right side
   3,867.12x = 59,378,703.46
5. Step 5: Solve for x
   x = 59,378,703.46/3,867.12
6. Step 6: Final answer
   x = 15,354.77