Finding the Third Proportional to 1,537.73 and 3,267.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.73 : 3,267.69 = 3,267.69 : x
2. Step 2: Convert to fraction form
   1,537.73/3,267.69 = 3,267.69/x
3. Step 3: Cross multiply
   1,537.73x = 3,267.69 × 3,267.69
4. Step 4: Simplify right side
   1,537.73x = 10,677,768.83
5. Step 5: Solve for x
   x = 10,677,768.83/1,537.73
6. Step 6: Final answer
   x = 6,943.83