Finding the Third Proportional to 41,814 and 89,382

Step by Step Solution

1. Step 1: Write the proportion equation
   41,814 : 89,382 = 89,382 : x
2. Step 2: Convert to fraction form
   41,814/89,382 = 89,382/x
3. Step 3: Cross multiply
   41,814x = 89,382 × 89,382
4. Step 4: Simplify right side
   41,814x = 7,989,141,924
5. Step 5: Solve for x
   x = 7,989,141,924/41,814
6. Step 6: Final answer
   x = 191,063.80