Finding the Third Proportional to 11,384 and 19,984

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 19,984 = 19,984 : x
2. Step 2: Convert to fraction form
   11,384/19,984 = 19,984/x
3. Step 3: Cross multiply
   11,384x = 19,984 × 19,984
4. Step 4: Simplify right side
   11,384x = 399,360,256
5. Step 5: Solve for x
   x = 399,360,256/11,384
6. Step 6: Final answer
   x = 35,080.84