Finding the Third Proportional to 47,922 and 75,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,922 : 75,004.50 = 75,004.50 : x
2. Step 2: Convert to fraction form
   47,922/75,004.50 = 75,004.50/x
3. Step 3: Cross multiply
   47,922x = 75,004.50 × 75,004.50
4. Step 4: Simplify right side
   47,922x = 5,625,675,020.25
5. Step 5: Solve for x
   x = 5,625,675,020.25/47,922
6. Step 6: Final answer
   x = 117,392.33