Finding the Third Proportional to 9,996.75 and 21,871.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,996.75 : 21,871.69 = 21,871.69 : x
2. Step 2: Convert to fraction form
   9,996.75/21,871.69 = 21,871.69/x
3. Step 3: Cross multiply
   9,996.75x = 21,871.69 × 21,871.69
4. Step 4: Simplify right side
   9,996.75x = 478,370,714.10
5. Step 5: Solve for x
   x = 478,370,714.10/9,996.75
6. Step 6: Final answer
   x = 47,852.62