Finding the Third Proportional to 2,629.88 and 5,637.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.88 : 5,637.75 = 5,637.75 : x
2. Step 2: Convert to fraction form
   2,629.88/5,637.75 = 5,637.75/x
3. Step 3: Cross multiply
   2,629.88x = 5,637.75 × 5,637.75
4. Step 4: Simplify right side
   2,629.88x = 31,784,225.06
5. Step 5: Solve for x
   x = 31,784,225.06/2,629.88
6. Step 6: Final answer
   x = 12,085.83