Finding the Third Proportional to 13,509.49 and 21,581.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,509.49 : 21,581.75 = 21,581.75 : x
2. Step 2: Convert to fraction form
   13,509.49/21,581.75 = 21,581.75/x
3. Step 3: Cross multiply
   13,509.49x = 21,581.75 × 21,581.75
4. Step 4: Simplify right side
   13,509.49x = 465,772,101.67
5. Step 5: Solve for x
   x = 465,772,101.67/13,509.49
6. Step 6: Final answer
   x = 34,477.40