Finding the Third Proportional to 32,996 and 73,354

Step by Step Solution

1. Step 1: Write the proportion equation
   32,996 : 73,354 = 73,354 : x
2. Step 2: Convert to fraction form
   32,996/73,354 = 73,354/x
3. Step 3: Cross multiply
   32,996x = 73,354 × 73,354
4. Step 4: Simplify right side
   32,996x = 5,380,809,316
5. Step 5: Solve for x
   x = 5,380,809,316/32,996
6. Step 6: Final answer
   x = 163,074.59