Finding the Third Proportional to 21,749 and 46,346

Step by Step Solution

1. Step 1: Write the proportion equation
   21,749 : 46,346 = 46,346 : x
2. Step 2: Convert to fraction form
   21,749/46,346 = 46,346/x
3. Step 3: Cross multiply
   21,749x = 46,346 × 46,346
4. Step 4: Simplify right side
   21,749x = 2,147,951,716
5. Step 5: Solve for x
   x = 2,147,951,716/21,749
6. Step 6: Final answer
   x = 98,760.94