Finding the Third Proportional to 3,334.50 and 5,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,334.50 : 5,205.38 = 5,205.38 : x
2. Step 2: Convert to fraction form
   3,334.50/5,205.38 = 5,205.38/x
3. Step 3: Cross multiply
   3,334.50x = 5,205.38 × 5,205.38
4. Step 4: Simplify right side
   3,334.50x = 27,095,928.89
5. Step 5: Solve for x
   x = 27,095,928.89/3,334.50
6. Step 6: Final answer
   x = 8,125.93