Finding the Third Proportional to 5,826 and 12,453

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826 : 12,453 = 12,453 : x
2. Step 2: Convert to fraction form
   5,826/12,453 = 12,453/x
3. Step 3: Cross multiply
   5,826x = 12,453 × 12,453
4. Step 4: Simplify right side
   5,826x = 155,077,209
5. Step 5: Solve for x
   x = 155,077,209/5,826
6. Step 6: Final answer
   x = 26,618.13