Finding the Third Proportional to 35,871 and 78,562

Step by Step Solution

1. Step 1: Write the proportion equation
   35,871 : 78,562 = 78,562 : x
2. Step 2: Convert to fraction form
   35,871/78,562 = 78,562/x
3. Step 3: Cross multiply
   35,871x = 78,562 × 78,562
4. Step 4: Simplify right side
   35,871x = 6,171,987,844
5. Step 5: Solve for x
   x = 6,171,987,844/35,871
6. Step 6: Final answer
   x = 172,060.66