Finding the Third Proportional to 5,842.13 and 12,514.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,842.13 : 12,514.82 = 12,514.82 : x
2. Step 2: Convert to fraction form
   5,842.13/12,514.82 = 12,514.82/x
3. Step 3: Cross multiply
   5,842.13x = 12,514.82 × 12,514.82
4. Step 4: Simplify right side
   5,842.13x = 156,620,629.68
5. Step 5: Solve for x
   x = 156,620,629.68/5,842.13
6. Step 6: Final answer
   x = 26,808.85