Finding the Third Proportional to 34,144 and 51,695

Step by Step Solution

1. Step 1: Write the proportion equation
   34,144 : 51,695 = 51,695 : x
2. Step 2: Convert to fraction form
   34,144/51,695 = 51,695/x
3. Step 3: Cross multiply
   34,144x = 51,695 × 51,695
4. Step 4: Simplify right side
   34,144x = 2,672,373,025
5. Step 5: Solve for x
   x = 2,672,373,025/34,144
6. Step 6: Final answer
   x = 78,267.72