Finding the Third Proportional to 20,106 and 31,238

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 31,238 = 31,238 : x
2. Step 2: Convert to fraction form
   20,106/31,238 = 31,238/x
3. Step 3: Cross multiply
   20,106x = 31,238 × 31,238
4. Step 4: Simplify right side
   20,106x = 975,812,644
5. Step 5: Solve for x
   x = 975,812,644/20,106
6. Step 6: Final answer
   x = 48,533.41