Finding the Third Proportional to 40,224 and 57,724

Step by Step Solution

1. Step 1: Write the proportion equation
   40,224 : 57,724 = 57,724 : x
2. Step 2: Convert to fraction form
   40,224/57,724 = 57,724/x
3. Step 3: Cross multiply
   40,224x = 57,724 × 57,724
4. Step 4: Simplify right side
   40,224x = 3,332,060,176
5. Step 5: Solve for x
   x = 3,332,060,176/40,224
6. Step 6: Final answer
   x = 82,837.61