Finding the Third Proportional to 25,926 and 56,778

Step by Step Solution

1. Step 1: Write the proportion equation
   25,926 : 56,778 = 56,778 : x
2. Step 2: Convert to fraction form
   25,926/56,778 = 56,778/x
3. Step 3: Cross multiply
   25,926x = 56,778 × 56,778
4. Step 4: Simplify right side
   25,926x = 3,223,741,284
5. Step 5: Solve for x
   x = 3,223,741,284/25,926
6. Step 6: Final answer
   x = 124,343.95