Finding the Third Proportional to 30,978 and 49,235.25

Step by Step Solution

1. Step 1: Write the proportion equation
   30,978 : 49,235.25 = 49,235.25 : x
2. Step 2: Convert to fraction form
   30,978/49,235.25 = 49,235.25/x
3. Step 3: Cross multiply
   30,978x = 49,235.25 × 49,235.25
4. Step 4: Simplify right side
   30,978x = 2,424,109,842.56
5. Step 5: Solve for x
   x = 2,424,109,842.56/30,978
6. Step 6: Final answer
   x = 78,252.63