Finding the Third Proportional to 12,886.31 and 14,243.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,886.31 : 14,243.06 = 14,243.06 : x
2. Step 2: Convert to fraction form
   12,886.31/14,243.06 = 14,243.06/x
3. Step 3: Cross multiply
   12,886.31x = 14,243.06 × 14,243.06
4. Step 4: Simplify right side
   12,886.31x = 202,864,829.38
5. Step 5: Solve for x
   x = 202,864,829.38/12,886.31
6. Step 6: Final answer
   x = 15,742.66