Finding the Third Proportional to 2,124 and 4,632

Step by Step Solution

1. Step 1: Write the proportion equation
   2,124 : 4,632 = 4,632 : x
2. Step 2: Convert to fraction form
   2,124/4,632 = 4,632/x
3. Step 3: Cross multiply
   2,124x = 4,632 × 4,632
4. Step 4: Simplify right side
   2,124x = 21,455,424
5. Step 5: Solve for x
   x = 21,455,424/2,124
6. Step 6: Final answer
   x = 10,101.42