Finding the Third Proportional to 41,535 and 85,014

Step by Step Solution

1. Step 1: Write the proportion equation
   41,535 : 85,014 = 85,014 : x
2. Step 2: Convert to fraction form
   41,535/85,014 = 85,014/x
3. Step 3: Cross multiply
   41,535x = 85,014 × 85,014
4. Step 4: Simplify right side
   41,535x = 7,227,380,196
5. Step 5: Solve for x
   x = 7,227,380,196/41,535
6. Step 6: Final answer
   x = 174,006.99