Finding the Third Proportional to 34,176 and 77,112

Step by Step Solution

1. Step 1: Write the proportion equation
   34,176 : 77,112 = 77,112 : x
2. Step 2: Convert to fraction form
   34,176/77,112 = 77,112/x
3. Step 3: Cross multiply
   34,176x = 77,112 × 77,112
4. Step 4: Simplify right side
   34,176x = 5,946,260,544
5. Step 5: Solve for x
   x = 5,946,260,544/34,176
6. Step 6: Final answer
   x = 173,989.37