Finding the Third Proportional to 35,978 and 54,470

Step by Step Solution

1. Step 1: Write the proportion equation
   35,978 : 54,470 = 54,470 : x
2. Step 2: Convert to fraction form
   35,978/54,470 = 54,470/x
3. Step 3: Cross multiply
   35,978x = 54,470 × 54,470
4. Step 4: Simplify right side
   35,978x = 2,966,980,900
5. Step 5: Solve for x
   x = 2,966,980,900/35,978
6. Step 6: Final answer
   x = 82,466.53