Finding the Third Proportional to 5,914.69 and 12,877.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,914.69 : 12,877.31 = 12,877.31 : x
2. Step 2: Convert to fraction form
   5,914.69/12,877.31 = 12,877.31/x
3. Step 3: Cross multiply
   5,914.69x = 12,877.31 × 12,877.31
4. Step 4: Simplify right side
   5,914.69x = 165,825,177.22
5. Step 5: Solve for x
   x = 165,825,177.22/5,914.69
6. Step 6: Final answer
   x = 28,036.17