Finding the Third Proportional to 72,628 and 100,013

Step by Step Solution

1. Step 1: Write the proportion equation
   72,628 : 100,013 = 100,013 : x
2. Step 2: Convert to fraction form
   72,628/100,013 = 100,013/x
3. Step 3: Cross multiply
   72,628x = 100,013 × 100,013
4. Step 4: Simplify right side
   72,628x = 10,002,600,169
5. Step 5: Solve for x
   x = 10,002,600,169/72,628
6. Step 6: Final answer
   x = 137,723.75