Finding the Third Proportional to 33,905 and 73,507

Step by Step Solution

1. Step 1: Write the proportion equation
   33,905 : 73,507 = 73,507 : x
2. Step 2: Convert to fraction form
   33,905/73,507 = 73,507/x
3. Step 3: Cross multiply
   33,905x = 73,507 × 73,507
4. Step 4: Simplify right side
   33,905x = 5,403,279,049
5. Step 5: Solve for x
   x = 5,403,279,049/33,905
6. Step 6: Final answer
   x = 159,365.26