Finding the Third Proportional to 7,666 and 10,848

Step by Step Solution

1. Step 1: Write the proportion equation
   7,666 : 10,848 = 10,848 : x
2. Step 2: Convert to fraction form
   7,666/10,848 = 10,848/x
3. Step 3: Cross multiply
   7,666x = 10,848 × 10,848
4. Step 4: Simplify right side
   7,666x = 117,679,104
5. Step 5: Solve for x
   x = 117,679,104/7,666
6. Step 6: Final answer
   x = 15,350.78