Finding the Third Proportional to 6,978 and 10,347

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 10,347 = 10,347 : x
2. Step 2: Convert to fraction form
   6,978/10,347 = 10,347/x
3. Step 3: Cross multiply
   6,978x = 10,347 × 10,347
4. Step 4: Simplify right side
   6,978x = 107,060,409
5. Step 5: Solve for x
   x = 107,060,409/6,978
6. Step 6: Final answer
   x = 15,342.56