Finding the Third Proportional to 21,550 and 46,978

Step by Step Solution

1. Step 1: Write the proportion equation
   21,550 : 46,978 = 46,978 : x
2. Step 2: Convert to fraction form
   21,550/46,978 = 46,978/x
3. Step 3: Cross multiply
   21,550x = 46,978 × 46,978
4. Step 4: Simplify right side
   21,550x = 2,206,932,484
5. Step 5: Solve for x
   x = 2,206,932,484/21,550
6. Step 6: Final answer
   x = 102,409.86