Finding the Third Proportional to 20,214 and 31,158

Step by Step Solution

1. Step 1: Write the proportion equation
   20,214 : 31,158 = 31,158 : x
2. Step 2: Convert to fraction form
   20,214/31,158 = 31,158/x
3. Step 3: Cross multiply
   20,214x = 31,158 × 31,158
4. Step 4: Simplify right side
   20,214x = 970,820,964
5. Step 5: Solve for x
   x = 970,820,964/20,214
6. Step 6: Final answer
   x = 48,027.16