Finding the Third Proportional to 49,022 and 75,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,022 : 75,383.50 = 75,383.50 : x
2. Step 2: Convert to fraction form
   49,022/75,383.50 = 75,383.50/x
3. Step 3: Cross multiply
   49,022x = 75,383.50 × 75,383.50
4. Step 4: Simplify right side
   49,022x = 5,682,672,072.25
5. Step 5: Solve for x
   x = 5,682,672,072.25/49,022
6. Step 6: Final answer
   x = 115,920.85