Finding the Third Proportional to 20,820 and 33,114

Step by Step Solution

1. Step 1: Write the proportion equation
   20,820 : 33,114 = 33,114 : x
2. Step 2: Convert to fraction form
   20,820/33,114 = 33,114/x
3. Step 3: Cross multiply
   20,820x = 33,114 × 33,114
4. Step 4: Simplify right side
   20,820x = 1,096,536,996
5. Step 5: Solve for x
   x = 1,096,536,996/20,820
6. Step 6: Final answer
   x = 52,667.48