Finding the Third Proportional to 41,205 and 73,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,205 : 73,627.50 = 73,627.50 : x
2. Step 2: Convert to fraction form
   41,205/73,627.50 = 73,627.50/x
3. Step 3: Cross multiply
   41,205x = 73,627.50 × 73,627.50
4. Step 4: Simplify right side
   41,205x = 5,421,008,756.25
5. Step 5: Solve for x
   x = 5,421,008,756.25/41,205
6. Step 6: Final answer
   x = 131,561.92