Finding the Third Proportional to 33,615 and 71,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,615 : 71,617.50 = 71,617.50 : x
2. Step 2: Convert to fraction form
   33,615/71,617.50 = 71,617.50/x
3. Step 3: Cross multiply
   33,615x = 71,617.50 × 71,617.50
4. Step 4: Simplify right side
   33,615x = 5,129,066,306.25
5. Step 5: Solve for x
   x = 5,129,066,306.25/33,615
6. Step 6: Final answer
   x = 152,582.67