Finding the Third Proportional to 35,154 and 82,983

Step by Step Solution

1. Step 1: Write the proportion equation
   35,154 : 82,983 = 82,983 : x
2. Step 2: Convert to fraction form
   35,154/82,983 = 82,983/x
3. Step 3: Cross multiply
   35,154x = 82,983 × 82,983
4. Step 4: Simplify right side
   35,154x = 6,886,178,289
5. Step 5: Solve for x
   x = 6,886,178,289/35,154
6. Step 6: Final answer
   x = 195,886.05