Finding the Third Proportional to 10,978 and 15,270

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 15,270 = 15,270 : x
2. Step 2: Convert to fraction form
   10,978/15,270 = 15,270/x
3. Step 3: Cross multiply
   10,978x = 15,270 × 15,270
4. Step 4: Simplify right side
   10,978x = 233,172,900
5. Step 5: Solve for x
   x = 233,172,900/10,978
6. Step 6: Final answer
   x = 21,240.02