Finding the Third Proportional to 16,196 and 32,984

Step by Step Solution

1. Step 1: Write the proportion equation
   16,196 : 32,984 = 32,984 : x
2. Step 2: Convert to fraction form
   16,196/32,984 = 32,984/x
3. Step 3: Cross multiply
   16,196x = 32,984 × 32,984
4. Step 4: Simplify right side
   16,196x = 1,087,944,256
5. Step 5: Solve for x
   x = 1,087,944,256/16,196
6. Step 6: Final answer
   x = 67,173.64