Finding the Third Proportional to 5,168.81 and 7,740.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,168.81 : 7,740.56 = 7,740.56 : x
2. Step 2: Convert to fraction form
   5,168.81/7,740.56 = 7,740.56/x
3. Step 3: Cross multiply
   5,168.81x = 7,740.56 × 7,740.56
4. Step 4: Simplify right side
   5,168.81x = 59,916,307.82
5. Step 5: Solve for x
   x = 59,916,307.82/5,168.81
6. Step 6: Final answer
   x = 11,591.89