Finding the Third Proportional to 21,417 and 32,007

Step by Step Solution

1. Step 1: Write the proportion equation
   21,417 : 32,007 = 32,007 : x
2. Step 2: Convert to fraction form
   21,417/32,007 = 32,007/x
3. Step 3: Cross multiply
   21,417x = 32,007 × 32,007
4. Step 4: Simplify right side
   21,417x = 1,024,448,049
5. Step 5: Solve for x
   x = 1,024,448,049/21,417
6. Step 6: Final answer
   x = 47,833.41