Finding the Third Proportional to 5,296 and 12,352

Step by Step Solution

1. Step 1: Write the proportion equation
   5,296 : 12,352 = 12,352 : x
2. Step 2: Convert to fraction form
   5,296/12,352 = 12,352/x
3. Step 3: Cross multiply
   5,296x = 12,352 × 12,352
4. Step 4: Simplify right side
   5,296x = 152,571,904
5. Step 5: Solve for x
   x = 152,571,904/5,296
6. Step 6: Final answer
   x = 28,808.89