Finding the Third Proportional to 5,091.61 and 7,688.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,091.61 : 7,688.67 = 7,688.67 : x
2. Step 2: Convert to fraction form
   5,091.61/7,688.67 = 7,688.67/x
3. Step 3: Cross multiply
   5,091.61x = 7,688.67 × 7,688.67
4. Step 4: Simplify right side
   5,091.61x = 59,115,675.20
5. Step 5: Solve for x
   x = 59,115,675.20/5,091.61
6. Step 6: Final answer
   x = 11,610.41