Finding the Third Proportional to 22,978 and 35,467

Step by Step Solution

1. Step 1: Write the proportion equation
   22,978 : 35,467 = 35,467 : x
2. Step 2: Convert to fraction form
   22,978/35,467 = 35,467/x
3. Step 3: Cross multiply
   22,978x = 35,467 × 35,467
4. Step 4: Simplify right side
   22,978x = 1,257,908,089
5. Step 5: Solve for x
   x = 1,257,908,089/22,978
6. Step 6: Final answer
   x = 54,744.02