Finding the Third Proportional to 38,238 and 89,966

Step by Step Solution

1. Step 1: Write the proportion equation
   38,238 : 89,966 = 89,966 : x
2. Step 2: Convert to fraction form
   38,238/89,966 = 89,966/x
3. Step 3: Cross multiply
   38,238x = 89,966 × 89,966
4. Step 4: Simplify right side
   38,238x = 8,093,881,156
5. Step 5: Solve for x
   x = 8,093,881,156/38,238
6. Step 6: Final answer
   x = 211,671.14