Finding the Third Proportional to 32,942 and 73,253

Step by Step Solution

1. Step 1: Write the proportion equation
   32,942 : 73,253 = 73,253 : x
2. Step 2: Convert to fraction form
   32,942/73,253 = 73,253/x
3. Step 3: Cross multiply
   32,942x = 73,253 × 73,253
4. Step 4: Simplify right side
   32,942x = 5,366,002,009
5. Step 5: Solve for x
   x = 5,366,002,009/32,942
6. Step 6: Final answer
   x = 162,892.42