Finding the Third Proportional to 6,426 and 14,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426 : 14,008.50 = 14,008.50 : x
2. Step 2: Convert to fraction form
   6,426/14,008.50 = 14,008.50/x
3. Step 3: Cross multiply
   6,426x = 14,008.50 × 14,008.50
4. Step 4: Simplify right side
   6,426x = 196,238,072.25
5. Step 5: Solve for x
   x = 196,238,072.25/6,426
6. Step 6: Final answer
   x = 30,538.14