Finding the Third Proportional to 31,949 and 69,475

Step by Step Solution

1. Step 1: Write the proportion equation
   31,949 : 69,475 = 69,475 : x
2. Step 2: Convert to fraction form
   31,949/69,475 = 69,475/x
3. Step 3: Cross multiply
   31,949x = 69,475 × 69,475
4. Step 4: Simplify right side
   31,949x = 4,826,775,625
5. Step 5: Solve for x
   x = 4,826,775,625/31,949
6. Step 6: Final answer
   x = 151,077.52