Finding the Third Proportional to 19,786.50 and 30,978

Step by Step Solution

1. Step 1: Write the proportion equation
   19,786.50 : 30,978 = 30,978 : x
2. Step 2: Convert to fraction form
   19,786.50/30,978 = 30,978/x
3. Step 3: Cross multiply
   19,786.50x = 30,978 × 30,978
4. Step 4: Simplify right side
   19,786.50x = 959,636,484
5. Step 5: Solve for x
   x = 959,636,484/19,786.50
6. Step 6: Final answer
   x = 48,499.56