Finding the Third Proportional to 6,414 and 11,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414 : 11,410.50 = 11,410.50 : x
2. Step 2: Convert to fraction form
   6,414/11,410.50 = 11,410.50/x
3. Step 3: Cross multiply
   6,414x = 11,410.50 × 11,410.50
4. Step 4: Simplify right side
   6,414x = 130,199,510.25
5. Step 5: Solve for x
   x = 130,199,510.25/6,414
6. Step 6: Final answer
   x = 20,299.27