Finding the Third Proportional to 23,625 and 48,978

Step by Step Solution

1. Step 1: Write the proportion equation
   23,625 : 48,978 = 48,978 : x
2. Step 2: Convert to fraction form
   23,625/48,978 = 48,978/x
3. Step 3: Cross multiply
   23,625x = 48,978 × 48,978
4. Step 4: Simplify right side
   23,625x = 2,398,844,484
5. Step 5: Solve for x
   x = 2,398,844,484/23,625
6. Step 6: Final answer
   x = 101,538.39