Finding the Third Proportional to 12,814.88 and 27,546.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.88 : 27,546.75 = 27,546.75 : x
2. Step 2: Convert to fraction form
   12,814.88/27,546.75 = 27,546.75/x
3. Step 3: Cross multiply
   12,814.88x = 27,546.75 × 27,546.75
4. Step 4: Simplify right side
   12,814.88x = 758,823,435.56
5. Step 5: Solve for x
   x = 758,823,435.56/12,814.88
6. Step 6: Final answer
   x = 59,214.27