Finding the Third Proportional to 41,500 and 91,064

Step by Step Solution

1. Step 1: Write the proportion equation
   41,500 : 91,064 = 91,064 : x
2. Step 2: Convert to fraction form
   41,500/91,064 = 91,064/x
3. Step 3: Cross multiply
   41,500x = 91,064 × 91,064
4. Step 4: Simplify right side
   41,500x = 8,292,652,096
5. Step 5: Solve for x
   x = 8,292,652,096/41,500
6. Step 6: Final answer
   x = 199,822.94