Finding the Third Proportional to 13,826 and 21,315

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 21,315 = 21,315 : x
2. Step 2: Convert to fraction form
   13,826/21,315 = 21,315/x
3. Step 3: Cross multiply
   13,826x = 21,315 × 21,315
4. Step 4: Simplify right side
   13,826x = 454,329,225
5. Step 5: Solve for x
   x = 454,329,225/13,826
6. Step 6: Final answer
   x = 32,860.50