Finding the Third Proportional to 9,566 and 10,526

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 10,526 = 10,526 : x
2. Step 2: Convert to fraction form
   9,566/10,526 = 10,526/x
3. Step 3: Cross multiply
   9,566x = 10,526 × 10,526
4. Step 4: Simplify right side
   9,566x = 110,796,676
5. Step 5: Solve for x
   x = 110,796,676/9,566
6. Step 6: Final answer
   x = 11,582.34