Finding the Third Proportional to 16,884 and 22,536

Step by Step Solution

1. Step 1: Write the proportion equation
   16,884 : 22,536 = 22,536 : x
2. Step 2: Convert to fraction form
   16,884/22,536 = 22,536/x
3. Step 3: Cross multiply
   16,884x = 22,536 × 22,536
4. Step 4: Simplify right side
   16,884x = 507,871,296
5. Step 5: Solve for x
   x = 507,871,296/16,884
6. Step 6: Final answer
   x = 30,080.03