Finding the Third Proportional to 31,001 and 67,798

Step by Step Solution

1. Step 1: Write the proportion equation
   31,001 : 67,798 = 67,798 : x
2. Step 2: Convert to fraction form
   31,001/67,798 = 67,798/x
3. Step 3: Cross multiply
   31,001x = 67,798 × 67,798
4. Step 4: Simplify right side
   31,001x = 4,596,568,804
5. Step 5: Solve for x
   x = 4,596,568,804/31,001
6. Step 6: Final answer
   x = 148,271.63