Finding the Third Proportional to 12,782.25 and 26,738.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.25 : 26,738.63 = 26,738.63 : x
2. Step 2: Convert to fraction form
   12,782.25/26,738.63 = 26,738.63/x
3. Step 3: Cross multiply
   12,782.25x = 26,738.63 × 26,738.63
4. Step 4: Simplify right side
   12,782.25x = 714,954,066.89
5. Step 5: Solve for x
   x = 714,954,066.89/12,782.25
6. Step 6: Final answer
   x = 55,933.35