Finding the Third Proportional to 21,837 and 46,788

Step by Step Solution

1. Step 1: Write the proportion equation
   21,837 : 46,788 = 46,788 : x
2. Step 2: Convert to fraction form
   21,837/46,788 = 46,788/x
3. Step 3: Cross multiply
   21,837x = 46,788 × 46,788
4. Step 4: Simplify right side
   21,837x = 2,189,116,944
5. Step 5: Solve for x
   x = 2,189,116,944/21,837
6. Step 6: Final answer
   x = 100,248.06