Finding the Third Proportional to 16,584 and 23,196

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 23,196 = 23,196 : x
2. Step 2: Convert to fraction form
   16,584/23,196 = 23,196/x
3. Step 3: Cross multiply
   16,584x = 23,196 × 23,196
4. Step 4: Simplify right side
   16,584x = 538,054,416
5. Step 5: Solve for x
   x = 538,054,416/16,584
6. Step 6: Final answer
   x = 32,444.19