Finding the Third Proportional to 22,424 and 35,364

Step by Step Solution

1. Step 1: Write the proportion equation
   22,424 : 35,364 = 35,364 : x
2. Step 2: Convert to fraction form
   22,424/35,364 = 35,364/x
3. Step 3: Cross multiply
   22,424x = 35,364 × 35,364
4. Step 4: Simplify right side
   22,424x = 1,250,612,496
5. Step 5: Solve for x
   x = 1,250,612,496/22,424
6. Step 6: Final answer
   x = 55,771.16