Finding the Third Proportional to 5,258.67 and 7,705.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,258.67 : 7,705.76 = 7,705.76 : x
2. Step 2: Convert to fraction form
   5,258.67/7,705.76 = 7,705.76/x
3. Step 3: Cross multiply
   5,258.67x = 7,705.76 × 7,705.76
4. Step 4: Simplify right side
   5,258.67x = 59,378,703.46
5. Step 5: Solve for x
   x = 59,378,703.46/5,258.67
6. Step 6: Final answer
   x = 11,291.58