Finding the Third Proportional to 17,742 and 27,819

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742 : 27,819 = 27,819 : x
2. Step 2: Convert to fraction form
   17,742/27,819 = 27,819/x
3. Step 3: Cross multiply
   17,742x = 27,819 × 27,819
4. Step 4: Simplify right side
   17,742x = 773,896,761
5. Step 5: Solve for x
   x = 773,896,761/17,742
6. Step 6: Final answer
   x = 43,619.48