Finding the Third Proportional to 39,021.75 and 83,207.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,021.75 : 83,207.25 = 83,207.25 : x
2. Step 2: Convert to fraction form
   39,021.75/83,207.25 = 83,207.25/x
3. Step 3: Cross multiply
   39,021.75x = 83,207.25 × 83,207.25
4. Step 4: Simplify right side
   39,021.75x = 6,923,446,452.56
5. Step 5: Solve for x
   x = 6,923,446,452.56/39,021.75
6. Step 6: Final answer
   x = 177,425.32