Finding the Third Proportional to 14,978 and 35,345

Step by Step Solution

1. Step 1: Write the proportion equation
   14,978 : 35,345 = 35,345 : x
2. Step 2: Convert to fraction form
   14,978/35,345 = 35,345/x
3. Step 3: Cross multiply
   14,978x = 35,345 × 35,345
4. Step 4: Simplify right side
   14,978x = 1,249,269,025
5. Step 5: Solve for x
   x = 1,249,269,025/14,978
6. Step 6: Final answer
   x = 83,406.93