Finding the Third Proportional to 38,422 and 57,078

Step by Step Solution

1. Step 1: Write the proportion equation
   38,422 : 57,078 = 57,078 : x
2. Step 2: Convert to fraction form
   38,422/57,078 = 57,078/x
3. Step 3: Cross multiply
   38,422x = 57,078 × 57,078
4. Step 4: Simplify right side
   38,422x = 3,257,898,084
5. Step 5: Solve for x
   x = 3,257,898,084/38,422
6. Step 6: Final answer
   x = 84,792.52