Finding the Third Proportional to 31,716 and 75,006

Step by Step Solution

1. Step 1: Write the proportion equation
   31,716 : 75,006 = 75,006 : x
2. Step 2: Convert to fraction form
   31,716/75,006 = 75,006/x
3. Step 3: Cross multiply
   31,716x = 75,006 × 75,006
4. Step 4: Simplify right side
   31,716x = 5,625,900,036
5. Step 5: Solve for x
   x = 5,625,900,036/31,716
6. Step 6: Final answer
   x = 177,383.66