Finding the Third Proportional to 6,456 and 13,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 13,753.50 = 13,753.50 : x
2. Step 2: Convert to fraction form
   6,456/13,753.50 = 13,753.50/x
3. Step 3: Cross multiply
   6,456x = 13,753.50 × 13,753.50
4. Step 4: Simplify right side
   6,456x = 189,158,762.25
5. Step 5: Solve for x
   x = 189,158,762.25/6,456
6. Step 6: Final answer
   x = 29,299.68