Finding the Third Proportional to 10,004 and 21,850

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 21,850 = 21,850 : x
2. Step 2: Convert to fraction form
   10,004/21,850 = 21,850/x
3. Step 3: Cross multiply
   10,004x = 21,850 × 21,850
4. Step 4: Simplify right side
   10,004x = 477,422,500
5. Step 5: Solve for x
   x = 477,422,500/10,004
6. Step 6: Final answer
   x = 47,723.16