Finding the Third Proportional to 23,978 and 51,412

Step by Step Solution

1. Step 1: Write the proportion equation
   23,978 : 51,412 = 51,412 : x
2. Step 2: Convert to fraction form
   23,978/51,412 = 51,412/x
3. Step 3: Cross multiply
   23,978x = 51,412 × 51,412
4. Step 4: Simplify right side
   23,978x = 2,643,193,744
5. Step 5: Solve for x
   x = 2,643,193,744/23,978
6. Step 6: Final answer
   x = 110,234.12