Finding the Third Proportional to 10,200 and 20,832

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 20,832 = 20,832 : x
2. Step 2: Convert to fraction form
   10,200/20,832 = 20,832/x
3. Step 3: Cross multiply
   10,200x = 20,832 × 20,832
4. Step 4: Simplify right side
   10,200x = 433,972,224
5. Step 5: Solve for x
   x = 433,972,224/10,200
6. Step 6: Final answer
   x = 42,546.30