Finding the Third Proportional to 40,084 and 77,096

Step by Step Solution

1. Step 1: Write the proportion equation
   40,084 : 77,096 = 77,096 : x
2. Step 2: Convert to fraction form
   40,084/77,096 = 77,096/x
3. Step 3: Cross multiply
   40,084x = 77,096 × 77,096
4. Step 4: Simplify right side
   40,084x = 5,943,793,216
5. Step 5: Solve for x
   x = 5,943,793,216/40,084
6. Step 6: Final answer
   x = 148,283.44