Finding the Third Proportional to 32,864 and 50,982

Step by Step Solution

1. Step 1: Write the proportion equation
   32,864 : 50,982 = 50,982 : x
2. Step 2: Convert to fraction form
   32,864/50,982 = 50,982/x
3. Step 3: Cross multiply
   32,864x = 50,982 × 50,982
4. Step 4: Simplify right side
   32,864x = 2,599,164,324
5. Step 5: Solve for x
   x = 2,599,164,324/32,864
6. Step 6: Final answer
   x = 79,088.50