Finding the Third Proportional to 10,296 and 14,733

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 14,733 = 14,733 : x
2. Step 2: Convert to fraction form
   10,296/14,733 = 14,733/x
3. Step 3: Cross multiply
   10,296x = 14,733 × 14,733
4. Step 4: Simplify right side
   10,296x = 217,061,289
5. Step 5: Solve for x
   x = 217,061,289/10,296
6. Step 6: Final answer
   x = 21,082.10