Finding the Third Proportional to 21,468 and 46,614

Step by Step Solution

1. Step 1: Write the proportion equation
   21,468 : 46,614 = 46,614 : x
2. Step 2: Convert to fraction form
   21,468/46,614 = 46,614/x
3. Step 3: Cross multiply
   21,468x = 46,614 × 46,614
4. Step 4: Simplify right side
   21,468x = 2,172,864,996
5. Step 5: Solve for x
   x = 2,172,864,996/21,468
6. Step 6: Final answer
   x = 101,214.13