Finding the Third Proportional to 1,383 and 1,969.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383 : 1,969.25 = 1,969.25 : x
2. Step 2: Convert to fraction form
   1,383/1,969.25 = 1,969.25/x
3. Step 3: Cross multiply
   1,383x = 1,969.25 × 1,969.25
4. Step 4: Simplify right side
   1,383x = 3,877,945.56
5. Step 5: Solve for x
   x = 3,877,945.56/1,383
6. Step 6: Final answer
   x = 2,804.01