Finding the Third Proportional to 2,638.83 and 5,824.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.83 : 5,824.41 = 5,824.41 : x
2. Step 2: Convert to fraction form
   2,638.83/5,824.41 = 5,824.41/x
3. Step 3: Cross multiply
   2,638.83x = 5,824.41 × 5,824.41
4. Step 4: Simplify right side
   2,638.83x = 33,923,708.17
5. Step 5: Solve for x
   x = 33,923,708.17/2,638.83
6. Step 6: Final answer
   x = 12,855.60