Finding the Third Proportional to 38,302 and 89,006

Step by Step Solution

1. Step 1: Write the proportion equation
   38,302 : 89,006 = 89,006 : x
2. Step 2: Convert to fraction form
   38,302/89,006 = 89,006/x
3. Step 3: Cross multiply
   38,302x = 89,006 × 89,006
4. Step 4: Simplify right side
   38,302x = 7,922,068,036
5. Step 5: Solve for x
   x = 7,922,068,036/38,302
6. Step 6: Final answer
   x = 206,831.71