Finding the Third Proportional to 72,576 and 109,957

Step by Step Solution

1. Step 1: Write the proportion equation
   72,576 : 109,957 = 109,957 : x
2. Step 2: Convert to fraction form
   72,576/109,957 = 109,957/x
3. Step 3: Cross multiply
   72,576x = 109,957 × 109,957
4. Step 4: Simplify right side
   72,576x = 12,090,541,849
5. Step 5: Solve for x
   x = 12,090,541,849/72,576
6. Step 6: Final answer
   x = 166,591.46