Finding the Third Proportional to 4,682.81 and 7,011.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,682.81 : 7,011.56 = 7,011.56 : x
2. Step 2: Convert to fraction form
   4,682.81/7,011.56 = 7,011.56/x
3. Step 3: Cross multiply
   4,682.81x = 7,011.56 × 7,011.56
4. Step 4: Simplify right side
   4,682.81x = 49,162,008.69
5. Step 5: Solve for x
   x = 49,162,008.69/4,682.81
6. Step 6: Final answer
   x = 10,498.39