Finding the Third Proportional to 6,024 and 13,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,024 : 13,357.50 = 13,357.50 : x
2. Step 2: Convert to fraction form
   6,024/13,357.50 = 13,357.50/x
3. Step 3: Cross multiply
   6,024x = 13,357.50 × 13,357.50
4. Step 4: Simplify right side
   6,024x = 178,422,806.25
5. Step 5: Solve for x
   x = 178,422,806.25/6,024
6. Step 6: Final answer
   x = 29,618.66