Finding the Third Proportional to 1,918.69 and 3,792.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,918.69 : 3,792.45 = 3,792.45 : x
2. Step 2: Convert to fraction form
   1,918.69/3,792.45 = 3,792.45/x
3. Step 3: Cross multiply
   1,918.69x = 3,792.45 × 3,792.45
4. Step 4: Simplify right side
   1,918.69x = 14,382,641.45
5. Step 5: Solve for x
   x = 14,382,641.45/1,918.69
6. Step 6: Final answer
   x = 7,496.08