Finding the Third Proportional to 35,978 and 53,598

Step by Step Solution

1. Step 1: Write the proportion equation
   35,978 : 53,598 = 53,598 : x
2. Step 2: Convert to fraction form
   35,978/53,598 = 53,598/x
3. Step 3: Cross multiply
   35,978x = 53,598 × 53,598
4. Step 4: Simplify right side
   35,978x = 2,872,745,604
5. Step 5: Solve for x
   x = 2,872,745,604/35,978
6. Step 6: Final answer
   x = 79,847.28