Finding the Third Proportional to 5,192 and 5,960

Step by Step Solution

1. Step 1: Write the proportion equation
   5,192 : 5,960 = 5,960 : x
2. Step 2: Convert to fraction form
   5,192/5,960 = 5,960/x
3. Step 3: Cross multiply
   5,192x = 5,960 × 5,960
4. Step 4: Simplify right side
   5,192x = 35,521,600
5. Step 5: Solve for x
   x = 35,521,600/5,192
6. Step 6: Final answer
   x = 6,841.60