Finding the Third Proportional to 72,006 and 105,577

Step by Step Solution

1. Step 1: Write the proportion equation
   72,006 : 105,577 = 105,577 : x
2. Step 2: Convert to fraction form
   72,006/105,577 = 105,577/x
3. Step 3: Cross multiply
   72,006x = 105,577 × 105,577
4. Step 4: Simplify right side
   72,006x = 11,146,502,929
5. Step 5: Solve for x
   x = 11,146,502,929/72,006
6. Step 6: Final answer
   x = 154,799.64