Finding the Third Proportional to 72,625 and 100,009

Step by Step Solution

1. Step 1: Write the proportion equation
   72,625 : 100,009 = 100,009 : x
2. Step 2: Convert to fraction form
   72,625/100,009 = 100,009/x
3. Step 3: Cross multiply
   72,625x = 100,009 × 100,009
4. Step 4: Simplify right side
   72,625x = 10,001,800,081
5. Step 5: Solve for x
   x = 10,001,800,081/72,625
6. Step 6: Final answer
   x = 137,718.42