Finding the Third Proportional to 2,198.25 and 4,741.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.25 : 4,741.59 = 4,741.59 : x
2. Step 2: Convert to fraction form
   2,198.25/4,741.59 = 4,741.59/x
3. Step 3: Cross multiply
   2,198.25x = 4,741.59 × 4,741.59
4. Step 4: Simplify right side
   2,198.25x = 22,482,711.29
5. Step 5: Solve for x
   x = 22,482,711.29/2,198.25
6. Step 6: Final answer
   x = 10,227.55