Finding the Third Proportional to 6,418 and 13,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,418 : 13,266.50 = 13,266.50 : x
2. Step 2: Convert to fraction form
   6,418/13,266.50 = 13,266.50/x
3. Step 3: Cross multiply
   6,418x = 13,266.50 × 13,266.50
4. Step 4: Simplify right side
   6,418x = 176,000,022.25
5. Step 5: Solve for x
   x = 176,000,022.25/6,418
6. Step 6: Final answer
   x = 27,422.88