Finding the Third Proportional to 21,454 and 32,820

Step by Step Solution

1. Step 1: Write the proportion equation
   21,454 : 32,820 = 32,820 : x
2. Step 2: Convert to fraction form
   21,454/32,820 = 32,820/x
3. Step 3: Cross multiply
   21,454x = 32,820 × 32,820
4. Step 4: Simplify right side
   21,454x = 1,077,152,400
5. Step 5: Solve for x
   x = 1,077,152,400/21,454
6. Step 6: Final answer
   x = 50,207.53