Finding the Third Proportional to 5,737.92 and 8,820.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,737.92 : 8,820.56 = 8,820.56 : x
2. Step 2: Convert to fraction form
   5,737.92/8,820.56 = 8,820.56/x
3. Step 3: Cross multiply
   5,737.92x = 8,820.56 × 8,820.56
4. Step 4: Simplify right side
   5,737.92x = 77,802,322.82
5. Step 5: Solve for x
   x = 77,802,322.82/5,737.92
6. Step 6: Final answer
   x = 13,559.32