Finding the Third Proportional to 33,438 and 71,244

Step by Step Solution

1. Step 1: Write the proportion equation
   33,438 : 71,244 = 71,244 : x
2. Step 2: Convert to fraction form
   33,438/71,244 = 71,244/x
3. Step 3: Cross multiply
   33,438x = 71,244 × 71,244
4. Step 4: Simplify right side
   33,438x = 5,075,707,536
5. Step 5: Solve for x
   x = 5,075,707,536/33,438
6. Step 6: Final answer
   x = 151,794.59