Finding the Third Proportional to 17,585 and 42,024

Step by Step Solution

1. Step 1: Write the proportion equation
   17,585 : 42,024 = 42,024 : x
2. Step 2: Convert to fraction form
   17,585/42,024 = 42,024/x
3. Step 3: Cross multiply
   17,585x = 42,024 × 42,024
4. Step 4: Simplify right side
   17,585x = 1,766,016,576
5. Step 5: Solve for x
   x = 1,766,016,576/17,585
6. Step 6: Final answer
   x = 100,427.44