Finding the Third Proportional to 38,960 and 84,150

Step by Step Solution

1. Step 1: Write the proportion equation
   38,960 : 84,150 = 84,150 : x
2. Step 2: Convert to fraction form
   38,960/84,150 = 84,150/x
3. Step 3: Cross multiply
   38,960x = 84,150 × 84,150
4. Step 4: Simplify right side
   38,960x = 7,081,222,500
5. Step 5: Solve for x
   x = 7,081,222,500/38,960
6. Step 6: Final answer
   x = 181,756.22