Finding the Third Proportional to 47,399 and 71,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,399 : 71,399.50 = 71,399.50 : x
2. Step 2: Convert to fraction form
   47,399/71,399.50 = 71,399.50/x
3. Step 3: Cross multiply
   47,399x = 71,399.50 × 71,399.50
4. Step 4: Simplify right side
   47,399x = 5,097,888,600.25
5. Step 5: Solve for x
   x = 5,097,888,600.25/47,399
6. Step 6: Final answer
   x = 107,552.66