Finding the Third Proportional to 33,915 and 76,170

Step by Step Solution

1. Step 1: Write the proportion equation
   33,915 : 76,170 = 76,170 : x
2. Step 2: Convert to fraction form
   33,915/76,170 = 76,170/x
3. Step 3: Cross multiply
   33,915x = 76,170 × 76,170
4. Step 4: Simplify right side
   33,915x = 5,801,868,900
5. Step 5: Solve for x
   x = 5,801,868,900/33,915
6. Step 6: Final answer
   x = 171,070.88