Finding the Third Proportional to 2,116 and 4,637

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116 : 4,637 = 4,637 : x
2. Step 2: Convert to fraction form
   2,116/4,637 = 4,637/x
3. Step 3: Cross multiply
   2,116x = 4,637 × 4,637
4. Step 4: Simplify right side
   2,116x = 21,501,769
5. Step 5: Solve for x
   x = 21,501,769/2,116
6. Step 6: Final answer
   x = 10,161.52