Finding the Third Proportional to 9,776 and 13,970

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776 : 13,970 = 13,970 : x
2. Step 2: Convert to fraction form
   9,776/13,970 = 13,970/x
3. Step 3: Cross multiply
   9,776x = 13,970 × 13,970
4. Step 4: Simplify right side
   9,776x = 195,160,900
5. Step 5: Solve for x
   x = 195,160,900/9,776
6. Step 6: Final answer
   x = 19,963.27