Finding the Third Proportional to 21,814 and 32,019

Step by Step Solution

1. Step 1: Write the proportion equation
   21,814 : 32,019 = 32,019 : x
2. Step 2: Convert to fraction form
   21,814/32,019 = 32,019/x
3. Step 3: Cross multiply
   21,814x = 32,019 × 32,019
4. Step 4: Simplify right side
   21,814x = 1,025,216,361
5. Step 5: Solve for x
   x = 1,025,216,361/21,814
6. Step 6: Final answer
   x = 46,998.09