Finding the Third Proportional to 5,626.69 and 13,026.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,626.69 : 13,026.38 = 13,026.38 : x
2. Step 2: Convert to fraction form
   5,626.69/13,026.38 = 13,026.38/x
3. Step 3: Cross multiply
   5,626.69x = 13,026.38 × 13,026.38
4. Step 4: Simplify right side
   5,626.69x = 169,686,445.64
5. Step 5: Solve for x
   x = 169,686,445.64/5,626.69
6. Step 6: Final answer
   x = 30,157.43