Finding the Third Proportional to 72,644 and 100,032

Step by Step Solution

1. Step 1: Write the proportion equation
   72,644 : 100,032 = 100,032 : x
2. Step 2: Convert to fraction form
   72,644/100,032 = 100,032/x
3. Step 3: Cross multiply
   72,644x = 100,032 × 100,032
4. Step 4: Simplify right side
   72,644x = 10,006,401,024
5. Step 5: Solve for x
   x = 10,006,401,024/72,644
6. Step 6: Final answer
   x = 137,745.73