Finding the Third Proportional to 12,342 and 20,052

Step by Step Solution

1. Step 1: Write the proportion equation
   12,342 : 20,052 = 20,052 : x
2. Step 2: Convert to fraction form
   12,342/20,052 = 20,052/x
3. Step 3: Cross multiply
   12,342x = 20,052 × 20,052
4. Step 4: Simplify right side
   12,342x = 402,082,704
5. Step 5: Solve for x
   x = 402,082,704/12,342
6. Step 6: Final answer
   x = 32,578.41