Finding the Third Proportional to 27,978 and 59,352

Step by Step Solution

1. Step 1: Write the proportion equation
   27,978 : 59,352 = 59,352 : x
2. Step 2: Convert to fraction form
   27,978/59,352 = 59,352/x
3. Step 3: Cross multiply
   27,978x = 59,352 × 59,352
4. Step 4: Simplify right side
   27,978x = 3,522,659,904
5. Step 5: Solve for x
   x = 3,522,659,904/27,978
6. Step 6: Final answer
   x = 125,908.21