Finding the Third Proportional to 2,693.17 and 4,156.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,693.17 : 4,156.15 = 4,156.15 : x
2. Step 2: Convert to fraction form
   2,693.17/4,156.15 = 4,156.15/x
3. Step 3: Cross multiply
   2,693.17x = 4,156.15 × 4,156.15
4. Step 4: Simplify right side
   2,693.17x = 17,273,618.54
5. Step 5: Solve for x
   x = 17,273,618.54/2,693.17
6. Step 6: Final answer
   x = 6,413.86