Finding the Third Proportional to 46,978 and 72,710

Step by Step Solution

1. Step 1: Write the proportion equation
   46,978 : 72,710 = 72,710 : x
2. Step 2: Convert to fraction form
   46,978/72,710 = 72,710/x
3. Step 3: Cross multiply
   46,978x = 72,710 × 72,710
4. Step 4: Simplify right side
   46,978x = 5,286,744,100
5. Step 5: Solve for x
   x = 5,286,744,100/46,978
6. Step 6: Final answer
   x = 112,536.59