Finding the Third Proportional to 9,819 and 10,629

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819 : 10,629 = 10,629 : x
2. Step 2: Convert to fraction form
   9,819/10,629 = 10,629/x
3. Step 3: Cross multiply
   9,819x = 10,629 × 10,629
4. Step 4: Simplify right side
   9,819x = 112,975,641
5. Step 5: Solve for x
   x = 112,975,641/9,819
6. Step 6: Final answer
   x = 11,505.82