Finding the Third Proportional to 27,978 and 39,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,978 : 39,118.50 = 39,118.50 : x
2. Step 2: Convert to fraction form
   27,978/39,118.50 = 39,118.50/x
3. Step 3: Cross multiply
   27,978x = 39,118.50 × 39,118.50
4. Step 4: Simplify right side
   27,978x = 1,530,257,042.25
5. Step 5: Solve for x
   x = 1,530,257,042.25/27,978
6. Step 6: Final answer
   x = 54,695.01