Finding the Third Proportional to 2,113.59 and 4,618.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113.59 : 4,618.27 = 4,618.27 : x
2. Step 2: Convert to fraction form
   2,113.59/4,618.27 = 4,618.27/x
3. Step 3: Cross multiply
   2,113.59x = 4,618.27 × 4,618.27
4. Step 4: Simplify right side
   2,113.59x = 21,328,377.38
5. Step 5: Solve for x
   x = 21,328,377.38/2,113.59
6. Step 6: Final answer
   x = 10,091.05