Finding the Third Proportional to 33,762.38 and 78,163.88

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762.38 : 78,163.88 = 78,163.88 : x
2. Step 2: Convert to fraction form
   33,762.38/78,163.88 = 78,163.88/x
3. Step 3: Cross multiply
   33,762.38x = 78,163.88 × 78,163.88
4. Step 4: Simplify right side
   33,762.38x = 6,109,591,355.02
5. Step 5: Solve for x
   x = 6,109,591,355.02/33,762.38
6. Step 6: Final answer
   x = 180,958.58