Finding the Third Proportional to 9,896 and 21,776

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896 : 21,776 = 21,776 : x
2. Step 2: Convert to fraction form
   9,896/21,776 = 21,776/x
3. Step 3: Cross multiply
   9,896x = 21,776 × 21,776
4. Step 4: Simplify right side
   9,896x = 474,194,176
5. Step 5: Solve for x
   x = 474,194,176/9,896
6. Step 6: Final answer
   x = 47,917.76