Finding the Third Proportional to 10,091 and 21,982

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091 : 21,982 = 21,982 : x
2. Step 2: Convert to fraction form
   10,091/21,982 = 21,982/x
3. Step 3: Cross multiply
   10,091x = 21,982 × 21,982
4. Step 4: Simplify right side
   10,091x = 483,208,324
5. Step 5: Solve for x
   x = 483,208,324/10,091
6. Step 6: Final answer
   x = 47,885.08