Finding the Third Proportional to 22,978 and 51,152

Step by Step Solution

1. Step 1: Write the proportion equation
   22,978 : 51,152 = 51,152 : x
2. Step 2: Convert to fraction form
   22,978/51,152 = 51,152/x
3. Step 3: Cross multiply
   22,978x = 51,152 × 51,152
4. Step 4: Simplify right side
   22,978x = 2,616,527,104
5. Step 5: Solve for x
   x = 2,616,527,104/22,978
6. Step 6: Final answer
   x = 113,870.97