Finding the Third Proportional to 21,132 and 46,464

Step by Step Solution

1. Step 1: Write the proportion equation
   21,132 : 46,464 = 46,464 : x
2. Step 2: Convert to fraction form
   21,132/46,464 = 46,464/x
3. Step 3: Cross multiply
   21,132x = 46,464 × 46,464
4. Step 4: Simplify right side
   21,132x = 2,158,903,296
5. Step 5: Solve for x
   x = 2,158,903,296/21,132
6. Step 6: Final answer
   x = 102,162.75