Finding the Third Proportional to 33,688 and 73,983

Step by Step Solution

1. Step 1: Write the proportion equation
   33,688 : 73,983 = 73,983 : x
2. Step 2: Convert to fraction form
   33,688/73,983 = 73,983/x
3. Step 3: Cross multiply
   33,688x = 73,983 × 73,983
4. Step 4: Simplify right side
   33,688x = 5,473,484,289
5. Step 5: Solve for x
   x = 5,473,484,289/33,688
6. Step 6: Final answer
   x = 162,475.79