Finding the Third Proportional to 20,032 and 31,141

Step by Step Solution

1. Step 1: Write the proportion equation
   20,032 : 31,141 = 31,141 : x
2. Step 2: Convert to fraction form
   20,032/31,141 = 31,141/x
3. Step 3: Cross multiply
   20,032x = 31,141 × 31,141
4. Step 4: Simplify right side
   20,032x = 969,761,881
5. Step 5: Solve for x
   x = 969,761,881/20,032
6. Step 6: Final answer
   x = 48,410.64