Finding the Third Proportional to 33,588 and 71,172

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 71,172 = 71,172 : x
2. Step 2: Convert to fraction form
   33,588/71,172 = 71,172/x
3. Step 3: Cross multiply
   33,588x = 71,172 × 71,172
4. Step 4: Simplify right side
   33,588x = 5,065,453,584
5. Step 5: Solve for x
   x = 5,065,453,584/33,588
6. Step 6: Final answer
   x = 150,811.41