Finding the Third Proportional to 6,602 and 13,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,602 : 13,747.50 = 13,747.50 : x
2. Step 2: Convert to fraction form
   6,602/13,747.50 = 13,747.50/x
3. Step 3: Cross multiply
   6,602x = 13,747.50 × 13,747.50
4. Step 4: Simplify right side
   6,602x = 188,993,756.25
5. Step 5: Solve for x
   x = 188,993,756.25/6,602
6. Step 6: Final answer
   x = 28,626.74