Finding the Third Proportional to 51,615 and 72,682

Step by Step Solution

1. Step 1: Write the proportion equation
   51,615 : 72,682 = 72,682 : x
2. Step 2: Convert to fraction form
   51,615/72,682 = 72,682/x
3. Step 3: Cross multiply
   51,615x = 72,682 × 72,682
4. Step 4: Simplify right side
   51,615x = 5,282,673,124
5. Step 5: Solve for x
   x = 5,282,673,124/51,615
6. Step 6: Final answer
   x = 102,347.63