Finding the Third Proportional to 21,978 and 46,116

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 46,116 = 46,116 : x
2. Step 2: Convert to fraction form
   21,978/46,116 = 46,116/x
3. Step 3: Cross multiply
   21,978x = 46,116 × 46,116
4. Step 4: Simplify right side
   21,978x = 2,126,685,456
5. Step 5: Solve for x
   x = 2,126,685,456/21,978
6. Step 6: Final answer
   x = 96,764.29