Finding the Third Proportional to 38,380 and 83,150

Step by Step Solution

1. Step 1: Write the proportion equation
   38,380 : 83,150 = 83,150 : x
2. Step 2: Convert to fraction form
   38,380/83,150 = 83,150/x
3. Step 3: Cross multiply
   38,380x = 83,150 × 83,150
4. Step 4: Simplify right side
   38,380x = 6,913,922,500
5. Step 5: Solve for x
   x = 6,913,922,500/38,380
6. Step 6: Final answer
   x = 180,143.89