Finding the Third Proportional to 10,132 and 21,775

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 21,775 = 21,775 : x
2. Step 2: Convert to fraction form
   10,132/21,775 = 21,775/x
3. Step 3: Cross multiply
   10,132x = 21,775 × 21,775
4. Step 4: Simplify right side
   10,132x = 474,150,625
5. Step 5: Solve for x
   x = 474,150,625/10,132
6. Step 6: Final answer
   x = 46,797.34