Finding the Third Proportional to 17,740 and 41,810

Step by Step Solution

1. Step 1: Write the proportion equation
   17,740 : 41,810 = 41,810 : x
2. Step 2: Convert to fraction form
   17,740/41,810 = 41,810/x
3. Step 3: Cross multiply
   17,740x = 41,810 × 41,810
4. Step 4: Simplify right side
   17,740x = 1,748,076,100
5. Step 5: Solve for x
   x = 1,748,076,100/17,740
6. Step 6: Final answer
   x = 98,538.68