Finding the Third Proportional to 41,770 and 91,810

Step by Step Solution

1. Step 1: Write the proportion equation
   41,770 : 91,810 = 91,810 : x
2. Step 2: Convert to fraction form
   41,770/91,810 = 91,810/x
3. Step 3: Cross multiply
   41,770x = 91,810 × 91,810
4. Step 4: Simplify right side
   41,770x = 8,429,076,100
5. Step 5: Solve for x
   x = 8,429,076,100/41,770
6. Step 6: Final answer
   x = 201,797.37