Finding the Third Proportional to 13,655.25 and 18,536.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,655.25 : 18,536.63 = 18,536.63 : x
2. Step 2: Convert to fraction form
   13,655.25/18,536.63 = 18,536.63/x
3. Step 3: Cross multiply
   13,655.25x = 18,536.63 × 18,536.63
4. Step 4: Simplify right side
   13,655.25x = 343,606,466.39
5. Step 5: Solve for x
   x = 343,606,466.39/13,655.25
6. Step 6: Final answer
   x = 25,162.96