Finding the Third Proportional to 17,719 and 27,416

Step by Step Solution

1. Step 1: Write the proportion equation
   17,719 : 27,416 = 27,416 : x
2. Step 2: Convert to fraction form
   17,719/27,416 = 27,416/x
3. Step 3: Cross multiply
   17,719x = 27,416 × 27,416
4. Step 4: Simplify right side
   17,719x = 751,637,056
5. Step 5: Solve for x
   x = 751,637,056/17,719
6. Step 6: Final answer
   x = 42,419.83