Finding the Third Proportional to 40,224 and 55,578

Step by Step Solution

1. Step 1: Write the proportion equation
   40,224 : 55,578 = 55,578 : x
2. Step 2: Convert to fraction form
   40,224/55,578 = 55,578/x
3. Step 3: Cross multiply
   40,224x = 55,578 × 55,578
4. Step 4: Simplify right side
   40,224x = 3,088,914,084
5. Step 5: Solve for x
   x = 3,088,914,084/40,224
6. Step 6: Final answer
   x = 76,792.81