Finding the Third Proportional to 1,792.69 and 3,938.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,792.69 : 3,938.06 = 3,938.06 : x
2. Step 2: Convert to fraction form
   1,792.69/3,938.06 = 3,938.06/x
3. Step 3: Cross multiply
   1,792.69x = 3,938.06 × 3,938.06
4. Step 4: Simplify right side
   1,792.69x = 15,508,336.25
5. Step 5: Solve for x
   x = 15,508,336.25/1,792.69
6. Step 6: Final answer
   x = 8,650.89