Finding the Third Proportional to 14,422 and 31,978

Step by Step Solution

1. Step 1: Write the proportion equation
   14,422 : 31,978 = 31,978 : x
2. Step 2: Convert to fraction form
   14,422/31,978 = 31,978/x
3. Step 3: Cross multiply
   14,422x = 31,978 × 31,978
4. Step 4: Simplify right side
   14,422x = 1,022,592,484
5. Step 5: Solve for x
   x = 1,022,592,484/14,422
6. Step 6: Final answer
   x = 70,905.04