Finding the Third Proportional to 21,978 and 48,168

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 48,168 = 48,168 : x
2. Step 2: Convert to fraction form
   21,978/48,168 = 48,168/x
3. Step 3: Cross multiply
   21,978x = 48,168 × 48,168
4. Step 4: Simplify right side
   21,978x = 2,320,156,224
5. Step 5: Solve for x
   x = 2,320,156,224/21,978
6. Step 6: Final answer
   x = 105,567.21