Finding the Third Proportional to 38,724 and 83,949

Step by Step Solution

1. Step 1: Write the proportion equation
   38,724 : 83,949 = 83,949 : x
2. Step 2: Convert to fraction form
   38,724/83,949 = 83,949/x
3. Step 3: Cross multiply
   38,724x = 83,949 × 83,949
4. Step 4: Simplify right side
   38,724x = 7,047,434,601
5. Step 5: Solve for x
   x = 7,047,434,601/38,724
6. Step 6: Final answer
   x = 181,991.39