Finding the Third Proportional to 17,534 and 27,162.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 27,162.75 = 27,162.75 : x
2. Step 2: Convert to fraction form
   17,534/27,162.75 = 27,162.75/x
3. Step 3: Cross multiply
   17,534x = 27,162.75 × 27,162.75
4. Step 4: Simplify right side
   17,534x = 737,814,987.56
5. Step 5: Solve for x
   x = 737,814,987.56/17,534
6. Step 6: Final answer
   x = 42,079.10