Finding the Third Proportional to 32,017 and 32,017

Step by Step Solution

1. Step 1: Write the proportion equation
   32,017 : 32,017 = 32,017 : x
2. Step 2: Convert to fraction form
   32,017/32,017 = 32,017/x
3. Step 3: Cross multiply
   32,017x = 32,017 × 32,017
4. Step 4: Simplify right side
   32,017x = 1,025,088,289
5. Step 5: Solve for x
   x = 1,025,088,289/32,017
6. Step 6: Final answer
   x = 32,017