Finding the Third Proportional to 33,987 and 49,978

Step by Step Solution

1. Step 1: Write the proportion equation
   33,987 : 49,978 = 49,978 : x
2. Step 2: Convert to fraction form
   33,987/49,978 = 49,978/x
3. Step 3: Cross multiply
   33,987x = 49,978 × 49,978
4. Step 4: Simplify right side
   33,987x = 2,497,800,484
5. Step 5: Solve for x
   x = 2,497,800,484/33,987
6. Step 6: Final answer
   x = 73,492.82