Finding the Third Proportional to 2,116.13 and 5,738.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.13 : 5,738.34 = 5,738.34 : x
2. Step 2: Convert to fraction form
   2,116.13/5,738.34 = 5,738.34/x
3. Step 3: Cross multiply
   2,116.13x = 5,738.34 × 5,738.34
4. Step 4: Simplify right side
   2,116.13x = 32,928,588.99
5. Step 5: Solve for x
   x = 32,928,588.99/2,116.13
6. Step 6: Final answer
   x = 15,560.80