Finding the Third Proportional to 13,591 and 21,005

Step by Step Solution

1. Step 1: Write the proportion equation
   13,591 : 21,005 = 21,005 : x
2. Step 2: Convert to fraction form
   13,591/21,005 = 21,005/x
3. Step 3: Cross multiply
   13,591x = 21,005 × 21,005
4. Step 4: Simplify right side
   13,591x = 441,210,025
5. Step 5: Solve for x
   x = 441,210,025/13,591
6. Step 6: Final answer
   x = 32,463.40