Finding the Third Proportional to 35,976 and 53,595

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976 : 53,595 = 53,595 : x
2. Step 2: Convert to fraction form
   35,976/53,595 = 53,595/x
3. Step 3: Cross multiply
   35,976x = 53,595 × 53,595
4. Step 4: Simplify right side
   35,976x = 2,872,424,025
5. Step 5: Solve for x
   x = 2,872,424,025/35,976
6. Step 6: Final answer
   x = 79,842.78