Finding the Third Proportional to 41,585 and 91,141

Step by Step Solution

1. Step 1: Write the proportion equation
   41,585 : 91,141 = 91,141 : x
2. Step 2: Convert to fraction form
   41,585/91,141 = 91,141/x
3. Step 3: Cross multiply
   41,585x = 91,141 × 91,141
4. Step 4: Simplify right side
   41,585x = 8,306,681,881
5. Step 5: Solve for x
   x = 8,306,681,881/41,585
6. Step 6: Final answer
   x = 199,751.88