Finding the Third Proportional to 10,520 and 13,296

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 13,296 = 13,296 : x
2. Step 2: Convert to fraction form
   10,520/13,296 = 13,296/x
3. Step 3: Cross multiply
   10,520x = 13,296 × 13,296
4. Step 4: Simplify right side
   10,520x = 176,783,616
5. Step 5: Solve for x
   x = 176,783,616/10,520
6. Step 6: Final answer
   x = 16,804.53