Finding the Third Proportional to 34,294 and 51,871

Step by Step Solution

1. Step 1: Write the proportion equation
   34,294 : 51,871 = 51,871 : x
2. Step 2: Convert to fraction form
   34,294/51,871 = 51,871/x
3. Step 3: Cross multiply
   34,294x = 51,871 × 51,871
4. Step 4: Simplify right side
   34,294x = 2,690,600,641
5. Step 5: Solve for x
   x = 2,690,600,641/34,294
6. Step 6: Final answer
   x = 78,456.89