Finding the Third Proportional to 16,536 and 23,574

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 23,574 = 23,574 : x
2. Step 2: Convert to fraction form
   16,536/23,574 = 23,574/x
3. Step 3: Cross multiply
   16,536x = 23,574 × 23,574
4. Step 4: Simplify right side
   16,536x = 555,733,476
5. Step 5: Solve for x
   x = 555,733,476/16,536
6. Step 6: Final answer
   x = 33,607.49