Finding the Third Proportional to 4,638.94 and 10,006.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,638.94 : 10,006.88 = 10,006.88 : x
2. Step 2: Convert to fraction form
   4,638.94/10,006.88 = 10,006.88/x
3. Step 3: Cross multiply
   4,638.94x = 10,006.88 × 10,006.88
4. Step 4: Simplify right side
   4,638.94x = 100,137,547.27
5. Step 5: Solve for x
   x = 100,137,547.27/4,638.94
6. Step 6: Final answer
   x = 21,586.31