Finding the Third Proportional to 38,640 and 83,109

Step by Step Solution

1. Step 1: Write the proportion equation
   38,640 : 83,109 = 83,109 : x
2. Step 2: Convert to fraction form
   38,640/83,109 = 83,109/x
3. Step 3: Cross multiply
   38,640x = 83,109 × 83,109
4. Step 4: Simplify right side
   38,640x = 6,907,105,881
5. Step 5: Solve for x
   x = 6,907,105,881/38,640
6. Step 6: Final answer
   x = 178,755.33