Finding the Third Proportional to 22,304 and 41,416

Step by Step Solution

1. Step 1: Write the proportion equation
   22,304 : 41,416 = 41,416 : x
2. Step 2: Convert to fraction form
   22,304/41,416 = 41,416/x
3. Step 3: Cross multiply
   22,304x = 41,416 × 41,416
4. Step 4: Simplify right side
   22,304x = 1,715,285,056
5. Step 5: Solve for x
   x = 1,715,285,056/22,304
6. Step 6: Final answer
   x = 76,904.82