Finding the Third Proportional to 33,637 and 73,168

Step by Step Solution

1. Step 1: Write the proportion equation
   33,637 : 73,168 = 73,168 : x
2. Step 2: Convert to fraction form
   33,637/73,168 = 73,168/x
3. Step 3: Cross multiply
   33,637x = 73,168 × 73,168
4. Step 4: Simplify right side
   33,637x = 5,353,556,224
5. Step 5: Solve for x
   x = 5,353,556,224/33,637
6. Step 6: Final answer
   x = 159,156.77