Finding the Third Proportional to 41,206.50 and 55,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,206.50 : 55,975.50 = 55,975.50 : x
2. Step 2: Convert to fraction form
   41,206.50/55,975.50 = 55,975.50/x
3. Step 3: Cross multiply
   41,206.50x = 55,975.50 × 55,975.50
4. Step 4: Simplify right side
   41,206.50x = 3,133,256,600.25
5. Step 5: Solve for x
   x = 3,133,256,600.25/41,206.50
6. Step 6: Final answer
   x = 76,037.92