Finding the Third Proportional to 34,189 and 71,832

Step by Step Solution

1. Step 1: Write the proportion equation
   34,189 : 71,832 = 71,832 : x
2. Step 2: Convert to fraction form
   34,189/71,832 = 71,832/x
3. Step 3: Cross multiply
   34,189x = 71,832 × 71,832
4. Step 4: Simplify right side
   34,189x = 5,159,836,224
5. Step 5: Solve for x
   x = 5,159,836,224/34,189
6. Step 6: Final answer
   x = 150,920.95