Finding the Third Proportional to 7,638 and 10,071

Step by Step Solution

1. Step 1: Write the proportion equation
   7,638 : 10,071 = 10,071 : x
2. Step 2: Convert to fraction form
   7,638/10,071 = 10,071/x
3. Step 3: Cross multiply
   7,638x = 10,071 × 10,071
4. Step 4: Simplify right side
   7,638x = 101,425,041
5. Step 5: Solve for x
   x = 101,425,041/7,638
6. Step 6: Final answer
   x = 13,279.01