Finding the Third Proportional to 21,478 and 32,858

Step by Step Solution

1. Step 1: Write the proportion equation
   21,478 : 32,858 = 32,858 : x
2. Step 2: Convert to fraction form
   21,478/32,858 = 32,858/x
3. Step 3: Cross multiply
   21,478x = 32,858 × 32,858
4. Step 4: Simplify right side
   21,478x = 1,079,648,164
5. Step 5: Solve for x
   x = 1,079,648,164/21,478
6. Step 6: Final answer
   x = 50,267.63