Finding the Third Proportional to 7,666 and 10,106

Step by Step Solution

1. Step 1: Write the proportion equation
   7,666 : 10,106 = 10,106 : x
2. Step 2: Convert to fraction form
   7,666/10,106 = 10,106/x
3. Step 3: Cross multiply
   7,666x = 10,106 × 10,106
4. Step 4: Simplify right side
   7,666x = 102,131,236
5. Step 5: Solve for x
   x = 102,131,236/7,666
6. Step 6: Final answer
   x = 13,322.62