Finding the Third Proportional to 2,113 and 4,682

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113 : 4,682 = 4,682 : x
2. Step 2: Convert to fraction form
   2,113/4,682 = 4,682/x
3. Step 3: Cross multiply
   2,113x = 4,682 × 4,682
4. Step 4: Simplify right side
   2,113x = 21,921,124
5. Step 5: Solve for x
   x = 21,921,124/2,113
6. Step 6: Final answer
   x = 10,374.41