Finding the Third Proportional to 25,832 and 56,580

Step by Step Solution

1. Step 1: Write the proportion equation
   25,832 : 56,580 = 56,580 : x
2. Step 2: Convert to fraction form
   25,832/56,580 = 56,580/x
3. Step 3: Cross multiply
   25,832x = 56,580 × 56,580
4. Step 4: Simplify right side
   25,832x = 3,201,296,400
5. Step 5: Solve for x
   x = 3,201,296,400/25,832
6. Step 6: Final answer
   x = 123,927.55