Finding the Third Proportional to 6,978 and 10,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 10,219.50 = 10,219.50 : x
2. Step 2: Convert to fraction form
   6,978/10,219.50 = 10,219.50/x
3. Step 3: Cross multiply
   6,978x = 10,219.50 × 10,219.50
4. Step 4: Simplify right side
   6,978x = 104,438,180.25
5. Step 5: Solve for x
   x = 104,438,180.25/6,978
6. Step 6: Final answer
   x = 14,966.78