Finding the Third Proportional to 16,380 and 17,784

Step by Step Solution

1. Step 1: Write the proportion equation
   16,380 : 17,784 = 17,784 : x
2. Step 2: Convert to fraction form
   16,380/17,784 = 17,784/x
3. Step 3: Cross multiply
   16,380x = 17,784 × 17,784
4. Step 4: Simplify right side
   16,380x = 316,270,656
5. Step 5: Solve for x
   x = 316,270,656/16,380
6. Step 6: Final answer
   x = 19,308.34