Finding the Third Proportional to 21,864 and 32,812

Step by Step Solution

1. Step 1: Write the proportion equation
   21,864 : 32,812 = 32,812 : x
2. Step 2: Convert to fraction form
   21,864/32,812 = 32,812/x
3. Step 3: Cross multiply
   21,864x = 32,812 × 32,812
4. Step 4: Simplify right side
   21,864x = 1,076,627,344
5. Step 5: Solve for x
   x = 1,076,627,344/21,864
6. Step 6: Final answer
   x = 49,242.01