Finding the Third Proportional to 16,176 and 21,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,176 : 21,736.50 = 21,736.50 : x
2. Step 2: Convert to fraction form
   16,176/21,736.50 = 21,736.50/x
3. Step 3: Cross multiply
   16,176x = 21,736.50 × 21,736.50
4. Step 4: Simplify right side
   16,176x = 472,475,432.25
5. Step 5: Solve for x
   x = 472,475,432.25/16,176
6. Step 6: Final answer
   x = 29,208.42