Finding the Third Proportional to 1,633.50 and 3,353.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,633.50 : 3,353.06 = 3,353.06 : x
2. Step 2: Convert to fraction form
   1,633.50/3,353.06 = 3,353.06/x
3. Step 3: Cross multiply
   1,633.50x = 3,353.06 × 3,353.06
4. Step 4: Simplify right side
   1,633.50x = 11,243,028.13
5. Step 5: Solve for x
   x = 11,243,028.13/1,633.50
6. Step 6: Final answer
   x = 6,882.78