Finding the Third Proportional to 21,164 and 32,420

Step by Step Solution

1. Step 1: Write the proportion equation
   21,164 : 32,420 = 32,420 : x
2. Step 2: Convert to fraction form
   21,164/32,420 = 32,420/x
3. Step 3: Cross multiply
   21,164x = 32,420 × 32,420
4. Step 4: Simplify right side
   21,164x = 1,051,056,400
5. Step 5: Solve for x
   x = 1,051,056,400/21,164
6. Step 6: Final answer
   x = 49,662.46