Finding the Third Proportional to 4,638 and 10,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,638 : 10,006.50 = 10,006.50 : x
2. Step 2: Convert to fraction form
   4,638/10,006.50 = 10,006.50/x
3. Step 3: Cross multiply
   4,638x = 10,006.50 × 10,006.50
4. Step 4: Simplify right side
   4,638x = 100,130,042.25
5. Step 5: Solve for x
   x = 100,130,042.25/4,638
6. Step 6: Final answer
   x = 21,589.06