Finding the Third Proportional to 6,412 and 13,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,412 : 13,333.50 = 13,333.50 : x
2. Step 2: Convert to fraction form
   6,412/13,333.50 = 13,333.50/x
3. Step 3: Cross multiply
   6,412x = 13,333.50 × 13,333.50
4. Step 4: Simplify right side
   6,412x = 177,782,222.25
5. Step 5: Solve for x
   x = 177,782,222.25/6,412
6. Step 6: Final answer
   x = 27,726.49