Finding the Third Proportional to 33,963 and 73,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,963 : 73,756.50 = 73,756.50 : x
2. Step 2: Convert to fraction form
   33,963/73,756.50 = 73,756.50/x
3. Step 3: Cross multiply
   33,963x = 73,756.50 × 73,756.50
4. Step 4: Simplify right side
   33,963x = 5,440,021,292.25
5. Step 5: Solve for x
   x = 5,440,021,292.25/33,963
6. Step 6: Final answer
   x = 160,174.93