Finding the Third Proportional to 34,176 and 71,808

Step by Step Solution

1. Step 1: Write the proportion equation
   34,176 : 71,808 = 71,808 : x
2. Step 2: Convert to fraction form
   34,176/71,808 = 71,808/x
3. Step 3: Cross multiply
   34,176x = 71,808 × 71,808
4. Step 4: Simplify right side
   34,176x = 5,156,388,864
5. Step 5: Solve for x
   x = 5,156,388,864/34,176
6. Step 6: Final answer
   x = 150,877.48