Finding the Third Proportional to 9,569 and 10,501

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569 : 10,501 = 10,501 : x
2. Step 2: Convert to fraction form
   9,569/10,501 = 10,501/x
3. Step 3: Cross multiply
   9,569x = 10,501 × 10,501
4. Step 4: Simplify right side
   9,569x = 110,271,001
5. Step 5: Solve for x
   x = 110,271,001/9,569
6. Step 6: Final answer
   x = 11,523.77