Finding the Third Proportional to 37,882 and 83,150

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882 : 83,150 = 83,150 : x
2. Step 2: Convert to fraction form
   37,882/83,150 = 83,150/x
3. Step 3: Cross multiply
   37,882x = 83,150 × 83,150
4. Step 4: Simplify right side
   37,882x = 6,913,922,500
5. Step 5: Solve for x
   x = 6,913,922,500/37,882
6. Step 6: Final answer
   x = 182,512.08