Finding the Third Proportional to 10,758 and 24,726

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758 : 24,726 = 24,726 : x
2. Step 2: Convert to fraction form
   10,758/24,726 = 24,726/x
3. Step 3: Cross multiply
   10,758x = 24,726 × 24,726
4. Step 4: Simplify right side
   10,758x = 611,375,076
5. Step 5: Solve for x
   x = 611,375,076/10,758
6. Step 6: Final answer
   x = 56,829.81