Finding the Third Proportional to 41,691 and 89,214

Step by Step Solution

1. Step 1: Write the proportion equation
   41,691 : 89,214 = 89,214 : x
2. Step 2: Convert to fraction form
   41,691/89,214 = 89,214/x
3. Step 3: Cross multiply
   41,691x = 89,214 × 89,214
4. Step 4: Simplify right side
   41,691x = 7,959,137,796
5. Step 5: Solve for x
   x = 7,959,137,796/41,691
6. Step 6: Final answer
   x = 190,907.82