Finding the Third Proportional to 33,688 and 73,274

Step by Step Solution

1. Step 1: Write the proportion equation
   33,688 : 73,274 = 73,274 : x
2. Step 2: Convert to fraction form
   33,688/73,274 = 73,274/x
3. Step 3: Cross multiply
   33,688x = 73,274 × 73,274
4. Step 4: Simplify right side
   33,688x = 5,369,079,076
5. Step 5: Solve for x
   x = 5,369,079,076/33,688
6. Step 6: Final answer
   x = 159,376.61