Finding the Third Proportional to 32,013 and 32,013

Step by Step Solution

1. Step 1: Write the proportion equation
   32,013 : 32,013 = 32,013 : x
2. Step 2: Convert to fraction form
   32,013/32,013 = 32,013/x
3. Step 3: Cross multiply
   32,013x = 32,013 × 32,013
4. Step 4: Simplify right side
   32,013x = 1,024,832,169
5. Step 5: Solve for x
   x = 1,024,832,169/32,013
6. Step 6: Final answer
   x = 32,013