Finding the Third Proportional to 12,195.56 and 13,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,195.56 : 13,638.38 = 13,638.38 : x
2. Step 2: Convert to fraction form
   12,195.56/13,638.38 = 13,638.38/x
3. Step 3: Cross multiply
   12,195.56x = 13,638.38 × 13,638.38
4. Step 4: Simplify right side
   12,195.56x = 186,005,272.64
5. Step 5: Solve for x
   x = 186,005,272.64/12,195.56
6. Step 6: Final answer
   x = 15,251.88