Finding the Third Proportional to 33,766 and 78,172

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 78,172 = 78,172 : x
2. Step 2: Convert to fraction form
   33,766/78,172 = 78,172/x
3. Step 3: Cross multiply
   33,766x = 78,172 × 78,172
4. Step 4: Simplify right side
   33,766x = 6,110,861,584
5. Step 5: Solve for x
   x = 6,110,861,584/33,766
6. Step 6: Final answer
   x = 180,976.77