Finding the Third Proportional to 25,606 and 56,295

Step by Step Solution

1. Step 1: Write the proportion equation
   25,606 : 56,295 = 56,295 : x
2. Step 2: Convert to fraction form
   25,606/56,295 = 56,295/x
3. Step 3: Cross multiply
   25,606x = 56,295 × 56,295
4. Step 4: Simplify right side
   25,606x = 3,169,127,025
5. Step 5: Solve for x
   x = 3,169,127,025/25,606
6. Step 6: Final answer
   x = 123,765.02