Finding the Third Proportional to 1,643.06 and 2,601.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.06 : 2,601.38 = 2,601.38 : x
2. Step 2: Convert to fraction form
   1,643.06/2,601.38 = 2,601.38/x
3. Step 3: Cross multiply
   1,643.06x = 2,601.38 × 2,601.38
4. Step 4: Simplify right side
   1,643.06x = 6,767,151.89
5. Step 5: Solve for x
   x = 6,767,151.89/1,643.06
6. Step 6: Final answer
   x = 4,118.62