Finding the Third Proportional to 2,533.36 and 5,917.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.36 : 5,917.22 = 5,917.22 : x
2. Step 2: Convert to fraction form
   2,533.36/5,917.22 = 5,917.22/x
3. Step 3: Cross multiply
   2,533.36x = 5,917.22 × 5,917.22
4. Step 4: Simplify right side
   2,533.36x = 35,013,477.74
5. Step 5: Solve for x
   x = 35,013,477.74/2,533.36
6. Step 6: Final answer
   x = 13,820.97