Finding the Third Proportional to 39,109 and 83,752

Step by Step Solution

1. Step 1: Write the proportion equation
   39,109 : 83,752 = 83,752 : x
2. Step 2: Convert to fraction form
   39,109/83,752 = 83,752/x
3. Step 3: Cross multiply
   39,109x = 83,752 × 83,752
4. Step 4: Simplify right side
   39,109x = 7,014,397,504
5. Step 5: Solve for x
   x = 7,014,397,504/39,109
6. Step 6: Final answer
   x = 179,355.07