Finding the Third Proportional to 51,002 and 71,695

Step by Step Solution

1. Step 1: Write the proportion equation
   51,002 : 71,695 = 71,695 : x
2. Step 2: Convert to fraction form
   51,002/71,695 = 71,695/x
3. Step 3: Cross multiply
   51,002x = 71,695 × 71,695
4. Step 4: Simplify right side
   51,002x = 5,140,173,025
5. Step 5: Solve for x
   x = 5,140,173,025/51,002
6. Step 6: Final answer
   x = 100,783.75