Finding the Third Proportional to 51,013 and 71,710

Step by Step Solution

1. Step 1: Write the proportion equation
   51,013 : 71,710 = 71,710 : x
2. Step 2: Convert to fraction form
   51,013/71,710 = 71,710/x
3. Step 3: Cross multiply
   51,013x = 71,710 × 71,710
4. Step 4: Simplify right side
   51,013x = 5,142,324,100
5. Step 5: Solve for x
   x = 5,142,324,100/51,013
6. Step 6: Final answer
   x = 100,804.19