Finding the Third Proportional to 13,681 and 21,007

Step by Step Solution

1. Step 1: Write the proportion equation
   13,681 : 21,007 = 21,007 : x
2. Step 2: Convert to fraction form
   13,681/21,007 = 21,007/x
3. Step 3: Cross multiply
   13,681x = 21,007 × 21,007
4. Step 4: Simplify right side
   13,681x = 441,294,049
5. Step 5: Solve for x
   x = 441,294,049/13,681
6. Step 6: Final answer
   x = 32,255.98