Finding the Third Proportional to 1,801.97 and 3,693.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,801.97 : 3,693.38 = 3,693.38 : x
2. Step 2: Convert to fraction form
   1,801.97/3,693.38 = 3,693.38/x
3. Step 3: Cross multiply
   1,801.97x = 3,693.38 × 3,693.38
4. Step 4: Simplify right side
   1,801.97x = 13,641,018.89
5. Step 5: Solve for x
   x = 13,641,018.89/1,801.97
6. Step 6: Final answer
   x = 7,570.06