Finding the Third Proportional to 31,586 and 42,141

Step by Step Solution

1. Step 1: Write the proportion equation
   31,586 : 42,141 = 42,141 : x
2. Step 2: Convert to fraction form
   31,586/42,141 = 42,141/x
3. Step 3: Cross multiply
   31,586x = 42,141 × 42,141
4. Step 4: Simplify right side
   31,586x = 1,775,863,881
5. Step 5: Solve for x
   x = 1,775,863,881/31,586
6. Step 6: Final answer
   x = 56,223.13