Finding the Third Proportional to 6,196 and 13,970

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196 : 13,970 = 13,970 : x
2. Step 2: Convert to fraction form
   6,196/13,970 = 13,970/x
3. Step 3: Cross multiply
   6,196x = 13,970 × 13,970
4. Step 4: Simplify right side
   6,196x = 195,160,900
5. Step 5: Solve for x
   x = 195,160,900/6,196
6. Step 6: Final answer
   x = 31,497.89