Finding the Third Proportional to 13,823 and 32,019

Step by Step Solution

1. Step 1: Write the proportion equation
   13,823 : 32,019 = 32,019 : x
2. Step 2: Convert to fraction form
   13,823/32,019 = 32,019/x
3. Step 3: Cross multiply
   13,823x = 32,019 × 32,019
4. Step 4: Simplify right side
   13,823x = 1,025,216,361
5. Step 5: Solve for x
   x = 1,025,216,361/13,823
6. Step 6: Final answer
   x = 74,167.43