Finding the Third Proportional to 13,814 and 21,535

Step by Step Solution

1. Step 1: Write the proportion equation
   13,814 : 21,535 = 21,535 : x
2. Step 2: Convert to fraction form
   13,814/21,535 = 21,535/x
3. Step 3: Cross multiply
   13,814x = 21,535 × 21,535
4. Step 4: Simplify right side
   13,814x = 463,756,225
5. Step 5: Solve for x
   x = 463,756,225/13,814
6. Step 6: Final answer
   x = 33,571.47