Finding the Third Proportional to 6,417 and 13,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417 : 13,945.50 = 13,945.50 : x
2. Step 2: Convert to fraction form
   6,417/13,945.50 = 13,945.50/x
3. Step 3: Cross multiply
   6,417x = 13,945.50 × 13,945.50
4. Step 4: Simplify right side
   6,417x = 194,476,970.25
5. Step 5: Solve for x
   x = 194,476,970.25/6,417
6. Step 6: Final answer
   x = 30,306.52