Finding the Third Proportional to 33,769 and 73,484

Step by Step Solution

1. Step 1: Write the proportion equation
   33,769 : 73,484 = 73,484 : x
2. Step 2: Convert to fraction form
   33,769/73,484 = 73,484/x
3. Step 3: Cross multiply
   33,769x = 73,484 × 73,484
4. Step 4: Simplify right side
   33,769x = 5,399,898,256
5. Step 5: Solve for x
   x = 5,399,898,256/33,769
6. Step 6: Final answer
   x = 159,906.96