Finding the Third Proportional to 22,674 and 35,195

Step by Step Solution

1. Step 1: Write the proportion equation
   22,674 : 35,195 = 35,195 : x
2. Step 2: Convert to fraction form
   22,674/35,195 = 35,195/x
3. Step 3: Cross multiply
   22,674x = 35,195 × 35,195
4. Step 4: Simplify right side
   22,674x = 1,238,688,025
5. Step 5: Solve for x
   x = 1,238,688,025/22,674
6. Step 6: Final answer
   x = 54,630.33