Finding the Third Proportional to 46,978 and 72,755

Step by Step Solution

1. Step 1: Write the proportion equation
   46,978 : 72,755 = 72,755 : x
2. Step 2: Convert to fraction form
   46,978/72,755 = 72,755/x
3. Step 3: Cross multiply
   46,978x = 72,755 × 72,755
4. Step 4: Simplify right side
   46,978x = 5,293,290,025
5. Step 5: Solve for x
   x = 5,293,290,025/46,978
6. Step 6: Final answer
   x = 112,675.93