Finding the Third Proportional to 3,334.92 and 4,462.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,334.92 : 4,462.59 = 4,462.59 : x
2. Step 2: Convert to fraction form
   3,334.92/4,462.59 = 4,462.59/x
3. Step 3: Cross multiply
   3,334.92x = 4,462.59 × 4,462.59
4. Step 4: Simplify right side
   3,334.92x = 19,914,742.98
5. Step 5: Solve for x
   x = 19,914,742.98/3,334.92
6. Step 6: Final answer
   x = 5,971.58