Finding the Third Proportional to 21,459 and 32,064

Step by Step Solution

1. Step 1: Write the proportion equation
   21,459 : 32,064 = 32,064 : x
2. Step 2: Convert to fraction form
   21,459/32,064 = 32,064/x
3. Step 3: Cross multiply
   21,459x = 32,064 × 32,064
4. Step 4: Simplify right side
   21,459x = 1,028,100,096
5. Step 5: Solve for x
   x = 1,028,100,096/21,459
6. Step 6: Final answer
   x = 47,909.97