Finding the Third Proportional to 20,406 and 31,772

Step by Step Solution

1. Step 1: Write the proportion equation
   20,406 : 31,772 = 31,772 : x
2. Step 2: Convert to fraction form
   20,406/31,772 = 31,772/x
3. Step 3: Cross multiply
   20,406x = 31,772 × 31,772
4. Step 4: Simplify right side
   20,406x = 1,009,459,984
5. Step 5: Solve for x
   x = 1,009,459,984/20,406
6. Step 6: Final answer
   x = 49,468.78