Finding the Third Proportional to 16,536 and 34,224

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 34,224 = 34,224 : x
2. Step 2: Convert to fraction form
   16,536/34,224 = 34,224/x
3. Step 3: Cross multiply
   16,536x = 34,224 × 34,224
4. Step 4: Simplify right side
   16,536x = 1,171,282,176
5. Step 5: Solve for x
   x = 1,171,282,176/16,536
6. Step 6: Final answer
   x = 70,832.26