Finding the Third Proportional to 27,580 and 59,288

Step by Step Solution

1. Step 1: Write the proportion equation
   27,580 : 59,288 = 59,288 : x
2. Step 2: Convert to fraction form
   27,580/59,288 = 59,288/x
3. Step 3: Cross multiply
   27,580x = 59,288 × 59,288
4. Step 4: Simplify right side
   27,580x = 3,515,066,944
5. Step 5: Solve for x
   x = 3,515,066,944/27,580
6. Step 6: Final answer
   x = 127,449.85