Finding the Third Proportional to 20,186 and 31,506

Step by Step Solution

1. Step 1: Write the proportion equation
   20,186 : 31,506 = 31,506 : x
2. Step 2: Convert to fraction form
   20,186/31,506 = 31,506/x
3. Step 3: Cross multiply
   20,186x = 31,506 × 31,506
4. Step 4: Simplify right side
   20,186x = 992,628,036
5. Step 5: Solve for x
   x = 992,628,036/20,186
6. Step 6: Final answer
   x = 49,174.08