Finding the Third Proportional to 5,758 and 12,046

Step by Step Solution

1. Step 1: Write the proportion equation
   5,758 : 12,046 = 12,046 : x
2. Step 2: Convert to fraction form
   5,758/12,046 = 12,046/x
3. Step 3: Cross multiply
   5,758x = 12,046 × 12,046
4. Step 4: Simplify right side
   5,758x = 145,106,116
5. Step 5: Solve for x
   x = 145,106,116/5,758
6. Step 6: Final answer
   x = 25,200.78