Finding the Third Proportional to 21,978 and 47,604

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 47,604 = 47,604 : x
2. Step 2: Convert to fraction form
   21,978/47,604 = 47,604/x
3. Step 3: Cross multiply
   21,978x = 47,604 × 47,604
4. Step 4: Simplify right side
   21,978x = 2,266,140,816
5. Step 5: Solve for x
   x = 2,266,140,816/21,978
6. Step 6: Final answer
   x = 103,109.51