Finding the Third Proportional to 20,978 and 31,615

Step by Step Solution

1. Step 1: Write the proportion equation
   20,978 : 31,615 = 31,615 : x
2. Step 2: Convert to fraction form
   20,978/31,615 = 31,615/x
3. Step 3: Cross multiply
   20,978x = 31,615 × 31,615
4. Step 4: Simplify right side
   20,978x = 999,508,225
5. Step 5: Solve for x
   x = 999,508,225/20,978
6. Step 6: Final answer
   x = 47,645.54