Finding the Third Proportional to 6,457.50 and 13,683.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,457.50 : 13,683.38 = 13,683.38 : x
2. Step 2: Convert to fraction form
   6,457.50/13,683.38 = 13,683.38/x
3. Step 3: Cross multiply
   6,457.50x = 13,683.38 × 13,683.38
4. Step 4: Simplify right side
   6,457.50x = 187,234,751.39
5. Step 5: Solve for x
   x = 187,234,751.39/6,457.50
6. Step 6: Final answer
   x = 28,994.93