Finding the Third Proportional to 1,202.63 and 1,842.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,202.63 : 1,842.38 = 1,842.38 : x
2. Step 2: Convert to fraction form
   1,202.63/1,842.38 = 1,842.38/x
3. Step 3: Cross multiply
   1,202.63x = 1,842.38 × 1,842.38
4. Step 4: Simplify right side
   1,202.63x = 3,394,345.64
5. Step 5: Solve for x
   x = 3,394,345.64/1,202.63
6. Step 6: Final answer
   x = 2,822.45