Finding the Third Proportional to 7,536 and 14,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,536 : 14,443.50 = 14,443.50 : x
2. Step 2: Convert to fraction form
   7,536/14,443.50 = 14,443.50/x
3. Step 3: Cross multiply
   7,536x = 14,443.50 × 14,443.50
4. Step 4: Simplify right side
   7,536x = 208,614,692.25
5. Step 5: Solve for x
   x = 208,614,692.25/7,536
6. Step 6: Final answer
   x = 27,682.42