Finding the Third Proportional to 1,968 and 5,208

Step by Step Solution

1. Step 1: Write the proportion equation
   1,968 : 5,208 = 5,208 : x
2. Step 2: Convert to fraction form
   1,968/5,208 = 5,208/x
3. Step 3: Cross multiply
   1,968x = 5,208 × 5,208
4. Step 4: Simplify right side
   1,968x = 27,123,264
5. Step 5: Solve for x
   x = 27,123,264/1,968
6. Step 6: Final answer
   x = 13,782.15