Finding the Third Proportional to 10,296 and 17,764

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 17,764 = 17,764 : x
2. Step 2: Convert to fraction form
   10,296/17,764 = 17,764/x
3. Step 3: Cross multiply
   10,296x = 17,764 × 17,764
4. Step 4: Simplify right side
   10,296x = 315,559,696
5. Step 5: Solve for x
   x = 315,559,696/10,296
6. Step 6: Final answer
   x = 30,648.77