Finding the Third Proportional to 17,838 and 42,183

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 42,183 = 42,183 : x
2. Step 2: Convert to fraction form
   17,838/42,183 = 42,183/x
3. Step 3: Cross multiply
   17,838x = 42,183 × 42,183
4. Step 4: Simplify right side
   17,838x = 1,779,405,489
5. Step 5: Solve for x
   x = 1,779,405,489/17,838
6. Step 6: Final answer
   x = 99,753.64