Finding the Third Proportional to 1,965.38 and 4,091.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.38 : 4,091.06 = 4,091.06 : x
2. Step 2: Convert to fraction form
   1,965.38/4,091.06 = 4,091.06/x
3. Step 3: Cross multiply
   1,965.38x = 4,091.06 × 4,091.06
4. Step 4: Simplify right side
   1,965.38x = 16,736,792.38
5. Step 5: Solve for x
   x = 16,736,792.38/1,965.38
6. Step 6: Final answer
   x = 8,515.83