Finding the Third Proportional to 2,912.63 and 5,622.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,912.63 : 5,622.75 = 5,622.75 : x
2. Step 2: Convert to fraction form
   2,912.63/5,622.75 = 5,622.75/x
3. Step 3: Cross multiply
   2,912.63x = 5,622.75 × 5,622.75
4. Step 4: Simplify right side
   2,912.63x = 31,615,317.56
5. Step 5: Solve for x
   x = 31,615,317.56/2,912.63
6. Step 6: Final answer
   x = 10,854.58