Finding the Third Proportional to 10,271.81 and 13,734.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271.81 : 13,734.56 = 13,734.56 : x
2. Step 2: Convert to fraction form
   10,271.81/13,734.56 = 13,734.56/x
3. Step 3: Cross multiply
   10,271.81x = 13,734.56 × 13,734.56
4. Step 4: Simplify right side
   10,271.81x = 188,638,207.07
5. Step 5: Solve for x
   x = 188,638,207.07/10,271.81
6. Step 6: Final answer
   x = 18,364.65