Finding the Third Proportional to 51,978 and 76,023

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 76,023 = 76,023 : x
2. Step 2: Convert to fraction form
   51,978/76,023 = 76,023/x
3. Step 3: Cross multiply
   51,978x = 76,023 × 76,023
4. Step 4: Simplify right side
   51,978x = 5,779,496,529
5. Step 5: Solve for x
   x = 5,779,496,529/51,978
6. Step 6: Final answer
   x = 111,191.21