Finding the Third Proportional to 32,767 and 71,095

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767 : 71,095 = 71,095 : x
2. Step 2: Convert to fraction form
   32,767/71,095 = 71,095/x
3. Step 3: Cross multiply
   32,767x = 71,095 × 71,095
4. Step 4: Simplify right side
   32,767x = 5,054,499,025
5. Step 5: Solve for x
   x = 5,054,499,025/32,767
6. Step 6: Final answer
   x = 154,255.78