Finding the Third Proportional to 5,967 and 13,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,967 : 13,828.50 = 13,828.50 : x
2. Step 2: Convert to fraction form
   5,967/13,828.50 = 13,828.50/x
3. Step 3: Cross multiply
   5,967x = 13,828.50 × 13,828.50
4. Step 4: Simplify right side
   5,967x = 191,227,412.25
5. Step 5: Solve for x
   x = 191,227,412.25/5,967
6. Step 6: Final answer
   x = 32,047.50