Finding the Third Proportional to 31,819 and 67,119

Step by Step Solution

1. Step 1: Write the proportion equation
   31,819 : 67,119 = 67,119 : x
2. Step 2: Convert to fraction form
   31,819/67,119 = 67,119/x
3. Step 3: Cross multiply
   31,819x = 67,119 × 67,119
4. Step 4: Simplify right side
   31,819x = 4,504,960,161
5. Step 5: Solve for x
   x = 4,504,960,161/31,819
6. Step 6: Final answer
   x = 141,580.82