Finding the Third Proportional to 3,742.88 and 5,796.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742.88 : 5,796.56 = 5,796.56 : x
2. Step 2: Convert to fraction form
   3,742.88/5,796.56 = 5,796.56/x
3. Step 3: Cross multiply
   3,742.88x = 5,796.56 × 5,796.56
4. Step 4: Simplify right side
   3,742.88x = 33,600,136.82
5. Step 5: Solve for x
   x = 33,600,136.82/3,742.88
6. Step 6: Final answer
   x = 8,977.09