Finding the Third Proportional to 25,965 and 56,466

Step by Step Solution

1. Step 1: Write the proportion equation
   25,965 : 56,466 = 56,466 : x
2. Step 2: Convert to fraction form
   25,965/56,466 = 56,466/x
3. Step 3: Cross multiply
   25,965x = 56,466 × 56,466
4. Step 4: Simplify right side
   25,965x = 3,188,409,156
5. Step 5: Solve for x
   x = 3,188,409,156/25,965
6. Step 6: Final answer
   x = 122,796.42