Finding the Third Proportional to 13,741.50 and 20,675.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,741.50 : 20,675.25 = 20,675.25 : x
2. Step 2: Convert to fraction form
   13,741.50/20,675.25 = 20,675.25/x
3. Step 3: Cross multiply
   13,741.50x = 20,675.25 × 20,675.25
4. Step 4: Simplify right side
   13,741.50x = 427,465,962.56
5. Step 5: Solve for x
   x = 427,465,962.56/13,741.50
6. Step 6: Final answer
   x = 31,107.66