Finding the Third Proportional to 2,141 and 4,630

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141 : 4,630 = 4,630 : x
2. Step 2: Convert to fraction form
   2,141/4,630 = 4,630/x
3. Step 3: Cross multiply
   2,141x = 4,630 × 4,630
4. Step 4: Simplify right side
   2,141x = 21,436,900
5. Step 5: Solve for x
   x = 21,436,900/2,141
6. Step 6: Final answer
   x = 10,012.56