Finding the Third Proportional to 31,191 and 67,713

Step by Step Solution

1. Step 1: Write the proportion equation
   31,191 : 67,713 = 67,713 : x
2. Step 2: Convert to fraction form
   31,191/67,713 = 67,713/x
3. Step 3: Cross multiply
   31,191x = 67,713 × 67,713
4. Step 4: Simplify right side
   31,191x = 4,585,050,369
5. Step 5: Solve for x
   x = 4,585,050,369/31,191
6. Step 6: Final answer
   x = 146,999.15