Finding the Third Proportional to 2,110 and 4,598

Step by Step Solution

1. Step 1: Write the proportion equation
   2,110 : 4,598 = 4,598 : x
2. Step 2: Convert to fraction form
   2,110/4,598 = 4,598/x
3. Step 3: Cross multiply
   2,110x = 4,598 × 4,598
4. Step 4: Simplify right side
   2,110x = 21,141,604
5. Step 5: Solve for x
   x = 21,141,604/2,110
6. Step 6: Final answer
   x = 10,019.72