Finding the Third Proportional to 5,854 and 10,410

Step by Step Solution

1. Step 1: Write the proportion equation
   5,854 : 10,410 = 10,410 : x
2. Step 2: Convert to fraction form
   5,854/10,410 = 10,410/x
3. Step 3: Cross multiply
   5,854x = 10,410 × 10,410
4. Step 4: Simplify right side
   5,854x = 108,368,100
5. Step 5: Solve for x
   x = 108,368,100/5,854
6. Step 6: Final answer
   x = 18,511.80