Finding the Third Proportional to 33,408 and 71,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,408 : 71,176.50 = 71,176.50 : x
2. Step 2: Convert to fraction form
   33,408/71,176.50 = 71,176.50/x
3. Step 3: Cross multiply
   33,408x = 71,176.50 × 71,176.50
4. Step 4: Simplify right side
   33,408x = 5,066,094,152.25
5. Step 5: Solve for x
   x = 5,066,094,152.25/33,408
6. Step 6: Final answer
   x = 151,643.14