Finding the Third Proportional to 2,792.18 and 4,319.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,792.18 : 4,319.47 = 4,319.47 : x
2. Step 2: Convert to fraction form
   2,792.18/4,319.47 = 4,319.47/x
3. Step 3: Cross multiply
   2,792.18x = 4,319.47 × 4,319.47
4. Step 4: Simplify right side
   2,792.18x = 18,657,844.03
5. Step 5: Solve for x
   x = 18,657,844.03/2,792.18
6. Step 6: Final answer
   x = 6,682.18