Finding the Third Proportional to 17,424 and 38,007

Step by Step Solution

1. Step 1: Write the proportion equation
   17,424 : 38,007 = 38,007 : x
2. Step 2: Convert to fraction form
   17,424/38,007 = 38,007/x
3. Step 3: Cross multiply
   17,424x = 38,007 × 38,007
4. Step 4: Simplify right side
   17,424x = 1,444,532,049
5. Step 5: Solve for x
   x = 1,444,532,049/17,424
6. Step 6: Final answer
   x = 82,904.73