Finding the Third Proportional to 5,735.81 and 8,819.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,735.81 : 8,819.72 = 8,819.72 : x
2. Step 2: Convert to fraction form
   5,735.81/8,819.72 = 8,819.72/x
3. Step 3: Cross multiply
   5,735.81x = 8,819.72 × 8,819.72
4. Step 4: Simplify right side
   5,735.81x = 77,787,438.83
5. Step 5: Solve for x
   x = 77,787,438.83/5,735.81
6. Step 6: Final answer
   x = 13,561.71