Finding the Third Proportional to 31,644 and 46,978

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 46,978 = 46,978 : x
2. Step 2: Convert to fraction form
   31,644/46,978 = 46,978/x
3. Step 3: Cross multiply
   31,644x = 46,978 × 46,978
4. Step 4: Simplify right side
   31,644x = 2,206,932,484
5. Step 5: Solve for x
   x = 2,206,932,484/31,644
6. Step 6: Final answer
   x = 69,742.53