Finding the Third Proportional to 6,075 and 12,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,075 : 12,613.50 = 12,613.50 : x
2. Step 2: Convert to fraction form
   6,075/12,613.50 = 12,613.50/x
3. Step 3: Cross multiply
   6,075x = 12,613.50 × 12,613.50
4. Step 4: Simplify right side
   6,075x = 159,100,382.25
5. Step 5: Solve for x
   x = 159,100,382.25/6,075
6. Step 6: Final answer
   x = 26,189.36