Finding the Third Proportional to 2,116 and 4,600

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116 : 4,600 = 4,600 : x
2. Step 2: Convert to fraction form
   2,116/4,600 = 4,600/x
3. Step 3: Cross multiply
   2,116x = 4,600 × 4,600
4. Step 4: Simplify right side
   2,116x = 21,160,000
5. Step 5: Solve for x
   x = 21,160,000/2,116
6. Step 6: Final answer
   x = 10,000