Finding the Third Proportional to 7,665 and 10,101

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665 : 10,101 = 10,101 : x
2. Step 2: Convert to fraction form
   7,665/10,101 = 10,101/x
3. Step 3: Cross multiply
   7,665x = 10,101 × 10,101
4. Step 4: Simplify right side
   7,665x = 102,030,201
5. Step 5: Solve for x
   x = 102,030,201/7,665
6. Step 6: Final answer
   x = 13,311.18