Finding the Third Proportional to 10,078 and 21,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078 : 21,830 = 21,830 : x
2. Step 2: Convert to fraction form
   10,078/21,830 = 21,830/x
3. Step 3: Cross multiply
   10,078x = 21,830 × 21,830
4. Step 4: Simplify right side
   10,078x = 476,548,900
5. Step 5: Solve for x
   x = 476,548,900/10,078
6. Step 6: Final answer
   x = 47,286.06