Finding the Third Proportional to 33,978 and 45,891

Step by Step Solution

1. Step 1: Write the proportion equation
   33,978 : 45,891 = 45,891 : x
2. Step 2: Convert to fraction form
   33,978/45,891 = 45,891/x
3. Step 3: Cross multiply
   33,978x = 45,891 × 45,891
4. Step 4: Simplify right side
   33,978x = 2,105,983,881
5. Step 5: Solve for x
   x = 2,105,983,881/33,978
6. Step 6: Final answer
   x = 61,980.81