Finding the Third Proportional to 13,731.75 and 20,543.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,731.75 : 20,543.63 = 20,543.63 : x
2. Step 2: Convert to fraction form
   13,731.75/20,543.63 = 20,543.63/x
3. Step 3: Cross multiply
   13,731.75x = 20,543.63 × 20,543.63
4. Step 4: Simplify right side
   13,731.75x = 422,040,528.14
5. Step 5: Solve for x
   x = 422,040,528.14/13,731.75
6. Step 6: Final answer
   x = 30,734.65