Finding the Third Proportional to 10,296 and 13,068

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 13,068 = 13,068 : x
2. Step 2: Convert to fraction form
   10,296/13,068 = 13,068/x
3. Step 3: Cross multiply
   10,296x = 13,068 × 13,068
4. Step 4: Simplify right side
   10,296x = 170,772,624
5. Step 5: Solve for x
   x = 170,772,624/10,296
6. Step 6: Final answer
   x = 16,586.31