Finding the Third Proportional to 12,629.25 and 19,811.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,629.25 : 19,811.25 = 19,811.25 : x
2. Step 2: Convert to fraction form
   12,629.25/19,811.25 = 19,811.25/x
3. Step 3: Cross multiply
   12,629.25x = 19,811.25 × 19,811.25
4. Step 4: Simplify right side
   12,629.25x = 392,485,626.56
5. Step 5: Solve for x
   x = 392,485,626.56/12,629.25
6. Step 6: Final answer
   x = 31,077.51