Finding the Third Proportional to 2,612.77 and 5,633.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,612.77 : 5,633.72 = 5,633.72 : x
2. Step 2: Convert to fraction form
   2,612.77/5,633.72 = 5,633.72/x
3. Step 3: Cross multiply
   2,612.77x = 5,633.72 × 5,633.72
4. Step 4: Simplify right side
   2,612.77x = 31,738,786.95
5. Step 5: Solve for x
   x = 31,738,786.95/2,612.77
6. Step 6: Final answer
   x = 12,147.58