Finding the Third Proportional to 1,813.50 and 3,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,813.50 : 3,383.50 = 3,383.50 : x
2. Step 2: Convert to fraction form
   1,813.50/3,383.50 = 3,383.50/x
3. Step 3: Cross multiply
   1,813.50x = 3,383.50 × 3,383.50
4. Step 4: Simplify right side
   1,813.50x = 11,448,072.25
5. Step 5: Solve for x
   x = 11,448,072.25/1,813.50
6. Step 6: Final answer
   x = 6,312.69