Finding the Third Proportional to 31,806 and 42,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 42,054 = 42,054 : x
2. Step 2: Convert to fraction form
   31,806/42,054 = 42,054/x
3. Step 3: Cross multiply
   31,806x = 42,054 × 42,054
4. Step 4: Simplify right side
   31,806x = 1,768,538,916
5. Step 5: Solve for x
   x = 1,768,538,916/31,806
6. Step 6: Final answer
   x = 55,603.94