Finding the Third Proportional to 2,117 and 4,910

Step by Step Solution

1. Step 1: Write the proportion equation
   2,117 : 4,910 = 4,910 : x
2. Step 2: Convert to fraction form
   2,117/4,910 = 4,910/x
3. Step 3: Cross multiply
   2,117x = 4,910 × 4,910
4. Step 4: Simplify right side
   2,117x = 24,108,100
5. Step 5: Solve for x
   x = 24,108,100/2,117
6. Step 6: Final answer
   x = 11,387.86