Finding the Third Proportional to 9,526 and 10,426

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526 : 10,426 = 10,426 : x
2. Step 2: Convert to fraction form
   9,526/10,426 = 10,426/x
3. Step 3: Cross multiply
   9,526x = 10,426 × 10,426
4. Step 4: Simplify right side
   9,526x = 108,701,476
5. Step 5: Solve for x
   x = 108,701,476/9,526
6. Step 6: Final answer
   x = 11,411.03