Finding the Third Proportional to 38,304 and 89,011

Step by Step Solution

1. Step 1: Write the proportion equation
   38,304 : 89,011 = 89,011 : x
2. Step 2: Convert to fraction form
   38,304/89,011 = 89,011/x
3. Step 3: Cross multiply
   38,304x = 89,011 × 89,011
4. Step 4: Simplify right side
   38,304x = 7,922,958,121
5. Step 5: Solve for x
   x = 7,922,958,121/38,304
6. Step 6: Final answer
   x = 206,844.14