Finding the Third Proportional to 6,833 and 10,445

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833 : 10,445 = 10,445 : x
2. Step 2: Convert to fraction form
   6,833/10,445 = 10,445/x
3. Step 3: Cross multiply
   6,833x = 10,445 × 10,445
4. Step 4: Simplify right side
   6,833x = 109,098,025
5. Step 5: Solve for x
   x = 109,098,025/6,833
6. Step 6: Final answer
   x = 15,966.34