Finding the Third Proportional to 6,140 and 9,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,140 : 9,443.50 = 9,443.50 : x
2. Step 2: Convert to fraction form
   6,140/9,443.50 = 9,443.50/x
3. Step 3: Cross multiply
   6,140x = 9,443.50 × 9,443.50
4. Step 4: Simplify right side
   6,140x = 89,179,692.25
5. Step 5: Solve for x
   x = 89,179,692.25/6,140
6. Step 6: Final answer
   x = 14,524.38