Finding the Third Proportional to 71,772 and 102,738

Step by Step Solution

1. Step 1: Write the proportion equation
   71,772 : 102,738 = 102,738 : x
2. Step 2: Convert to fraction form
   71,772/102,738 = 102,738/x
3. Step 3: Cross multiply
   71,772x = 102,738 × 102,738
4. Step 4: Simplify right side
   71,772x = 10,555,096,644
5. Step 5: Solve for x
   x = 10,555,096,644/71,772
6. Step 6: Final answer
   x = 147,064.27