Finding the Third Proportional to 14,806 and 31,798

Step by Step Solution

1. Step 1: Write the proportion equation
   14,806 : 31,798 = 31,798 : x
2. Step 2: Convert to fraction form
   14,806/31,798 = 31,798/x
3. Step 3: Cross multiply
   14,806x = 31,798 × 31,798
4. Step 4: Simplify right side
   14,806x = 1,011,112,804
5. Step 5: Solve for x
   x = 1,011,112,804/14,806
6. Step 6: Final answer
   x = 68,290.75