Finding the Third Proportional to 2,390 and 4,210

Step by Step Solution

1. Step 1: Write the proportion equation
   2,390 : 4,210 = 4,210 : x
2. Step 2: Convert to fraction form
   2,390/4,210 = 4,210/x
3. Step 3: Cross multiply
   2,390x = 4,210 × 4,210
4. Step 4: Simplify right side
   2,390x = 17,724,100
5. Step 5: Solve for x
   x = 17,724,100/2,390
6. Step 6: Final answer
   x = 7,415.94