Finding the Third Proportional to 10,176 and 17,984

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 17,984 = 17,984 : x
2. Step 2: Convert to fraction form
   10,176/17,984 = 17,984/x
3. Step 3: Cross multiply
   10,176x = 17,984 × 17,984
4. Step 4: Simplify right side
   10,176x = 323,424,256
5. Step 5: Solve for x
   x = 323,424,256/10,176
6. Step 6: Final answer
   x = 31,783.04