Finding the Third Proportional to 16,176 and 23,376

Step by Step Solution

1. Step 1: Write the proportion equation
   16,176 : 23,376 = 23,376 : x
2. Step 2: Convert to fraction form
   16,176/23,376 = 23,376/x
3. Step 3: Cross multiply
   16,176x = 23,376 × 23,376
4. Step 4: Simplify right side
   16,176x = 546,437,376
5. Step 5: Solve for x
   x = 546,437,376/16,176
6. Step 6: Final answer
   x = 33,780.75