Finding the Third Proportional to 31,723 and 67,819

Step by Step Solution

1. Step 1: Write the proportion equation
   31,723 : 67,819 = 67,819 : x
2. Step 2: Convert to fraction form
   31,723/67,819 = 67,819/x
3. Step 3: Cross multiply
   31,723x = 67,819 × 67,819
4. Step 4: Simplify right side
   31,723x = 4,599,416,761
5. Step 5: Solve for x
   x = 4,599,416,761/31,723
6. Step 6: Final answer
   x = 144,986.82