Finding the Third Proportional to 9,546 and 10,506

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546 : 10,506 = 10,506 : x
2. Step 2: Convert to fraction form
   9,546/10,506 = 10,506/x
3. Step 3: Cross multiply
   9,546x = 10,506 × 10,506
4. Step 4: Simplify right side
   9,546x = 110,376,036
5. Step 5: Solve for x
   x = 110,376,036/9,546
6. Step 6: Final answer
   x = 11,562.54