Finding the Third Proportional to 2,116 and 5,434

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116 : 5,434 = 5,434 : x
2. Step 2: Convert to fraction form
   2,116/5,434 = 5,434/x
3. Step 3: Cross multiply
   2,116x = 5,434 × 5,434
4. Step 4: Simplify right side
   2,116x = 29,528,356
5. Step 5: Solve for x
   x = 29,528,356/2,116
6. Step 6: Final answer
   x = 13,954.80