Finding the Third Proportional to 9,099 and 10,341

Step by Step Solution

1. Step 1: Write the proportion equation
   9,099 : 10,341 = 10,341 : x
2. Step 2: Convert to fraction form
   9,099/10,341 = 10,341/x
3. Step 3: Cross multiply
   9,099x = 10,341 × 10,341
4. Step 4: Simplify right side
   9,099x = 106,936,281
5. Step 5: Solve for x
   x = 106,936,281/9,099
6. Step 6: Final answer
   x = 11,752.53