Finding the Third Proportional to 2,536.10 and 5,533.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.10 : 5,533.52 = 5,533.52 : x
2. Step 2: Convert to fraction form
   2,536.10/5,533.52 = 5,533.52/x
3. Step 3: Cross multiply
   2,536.10x = 5,533.52 × 5,533.52
4. Step 4: Simplify right side
   2,536.10x = 30,619,881.63
5. Step 5: Solve for x
   x = 30,619,881.63/2,536.10
6. Step 6: Final answer
   x = 12,073.60