Finding the Third Proportional to 17,580 and 42,012

Step by Step Solution

1. Step 1: Write the proportion equation
   17,580 : 42,012 = 42,012 : x
2. Step 2: Convert to fraction form
   17,580/42,012 = 42,012/x
3. Step 3: Cross multiply
   17,580x = 42,012 × 42,012
4. Step 4: Simplify right side
   17,580x = 1,765,008,144
5. Step 5: Solve for x
   x = 1,765,008,144/17,580
6. Step 6: Final answer
   x = 100,398.64