Finding the Third Proportional to 42,762 and 67,170

Step by Step Solution

1. Step 1: Write the proportion equation
   42,762 : 67,170 = 67,170 : x
2. Step 2: Convert to fraction form
   42,762/67,170 = 67,170/x
3. Step 3: Cross multiply
   42,762x = 67,170 × 67,170
4. Step 4: Simplify right side
   42,762x = 4,511,808,900
5. Step 5: Solve for x
   x = 4,511,808,900/42,762
6. Step 6: Final answer
   x = 105,509.77