Finding the Third Proportional to 6,456 and 14,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 14,140.50 = 14,140.50 : x
2. Step 2: Convert to fraction form
   6,456/14,140.50 = 14,140.50/x
3. Step 3: Cross multiply
   6,456x = 14,140.50 × 14,140.50
4. Step 4: Simplify right side
   6,456x = 199,953,740.25
5. Step 5: Solve for x
   x = 199,953,740.25/6,456
6. Step 6: Final answer
   x = 30,971.77