Finding the Third Proportional to 72,646 and 100,041

Step by Step Solution

1. Step 1: Write the proportion equation
   72,646 : 100,041 = 100,041 : x
2. Step 2: Convert to fraction form
   72,646/100,041 = 100,041/x
3. Step 3: Cross multiply
   72,646x = 100,041 × 100,041
4. Step 4: Simplify right side
   72,646x = 10,008,201,681
5. Step 5: Solve for x
   x = 10,008,201,681/72,646
6. Step 6: Final answer
   x = 137,766.73