Finding the Third Proportional to 21,978 and 47,844

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 47,844 = 47,844 : x
2. Step 2: Convert to fraction form
   21,978/47,844 = 47,844/x
3. Step 3: Cross multiply
   21,978x = 47,844 × 47,844
4. Step 4: Simplify right side
   21,978x = 2,289,048,336
5. Step 5: Solve for x
   x = 2,289,048,336/21,978
6. Step 6: Final answer
   x = 104,151.80