Finding the Third Proportional to 5,816.81 and 7,749.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,816.81 : 7,749.42 = 7,749.42 : x
2. Step 2: Convert to fraction form
   5,816.81/7,749.42 = 7,749.42/x
3. Step 3: Cross multiply
   5,816.81x = 7,749.42 × 7,749.42
4. Step 4: Simplify right side
   5,816.81x = 60,053,539.40
5. Step 5: Solve for x
   x = 60,053,539.40/5,816.81
6. Step 6: Final answer
   x = 10,324.13