Finding the Third Proportional to 20,978 and 32,014

Step by Step Solution

1. Step 1: Write the proportion equation
   20,978 : 32,014 = 32,014 : x
2. Step 2: Convert to fraction form
   20,978/32,014 = 32,014/x
3. Step 3: Cross multiply
   20,978x = 32,014 × 32,014
4. Step 4: Simplify right side
   20,978x = 1,024,896,196
5. Step 5: Solve for x
   x = 1,024,896,196/20,978
6. Step 6: Final answer
   x = 48,855.76