Finding the Third Proportional to 35,856 and 83,322

Step by Step Solution

1. Step 1: Write the proportion equation
   35,856 : 83,322 = 83,322 : x
2. Step 2: Convert to fraction form
   35,856/83,322 = 83,322/x
3. Step 3: Cross multiply
   35,856x = 83,322 × 83,322
4. Step 4: Simplify right side
   35,856x = 6,942,555,684
5. Step 5: Solve for x
   x = 6,942,555,684/35,856
6. Step 6: Final answer
   x = 193,623.26