Finding the Third Proportional to 47,075 and 72,116

Step by Step Solution

1. Step 1: Write the proportion equation
   47,075 : 72,116 = 72,116 : x
2. Step 2: Convert to fraction form
   47,075/72,116 = 72,116/x
3. Step 3: Cross multiply
   47,075x = 72,116 × 72,116
4. Step 4: Simplify right side
   47,075x = 5,200,717,456
5. Step 5: Solve for x
   x = 5,200,717,456/47,075
6. Step 6: Final answer
   x = 110,477.27