Finding the Third Proportional to 1,641.38 and 3,507.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.38 : 3,507.75 = 3,507.75 : x
2. Step 2: Convert to fraction form
   1,641.38/3,507.75 = 3,507.75/x
3. Step 3: Cross multiply
   1,641.38x = 3,507.75 × 3,507.75
4. Step 4: Simplify right side
   1,641.38x = 12,304,310.06
5. Step 5: Solve for x
   x = 12,304,310.06/1,641.38
6. Step 6: Final answer
   x = 7,496.34