Finding the Third Proportional to 2,498.77 and 4,164.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.77 : 4,164.33 = 4,164.33 : x
2. Step 2: Convert to fraction form
   2,498.77/4,164.33 = 4,164.33/x
3. Step 3: Cross multiply
   2,498.77x = 4,164.33 × 4,164.33
4. Step 4: Simplify right side
   2,498.77x = 17,341,628.73
5. Step 5: Solve for x
   x = 17,341,628.73/2,498.77
6. Step 6: Final answer
   x = 6,940.08