Finding the Third Proportional to 5,967.70 and 13,005.35

Step by Step Solution

1. Step 1: Write the proportion equation
   5,967.70 : 13,005.35 = 13,005.35 : x
2. Step 2: Convert to fraction form
   5,967.70/13,005.35 = 13,005.35/x
3. Step 3: Cross multiply
   5,967.70x = 13,005.35 × 13,005.35
4. Step 4: Simplify right side
   5,967.70x = 169,139,169.26
5. Step 5: Solve for x
   x = 169,139,169.26/5,967.70
6. Step 6: Final answer
   x = 28,342.42