Finding the Third Proportional to 31,519 and 67,210

Step by Step Solution

1. Step 1: Write the proportion equation
   31,519 : 67,210 = 67,210 : x
2. Step 2: Convert to fraction form
   31,519/67,210 = 67,210/x
3. Step 3: Cross multiply
   31,519x = 67,210 × 67,210
4. Step 4: Simplify right side
   31,519x = 4,517,184,100
5. Step 5: Solve for x
   x = 4,517,184,100/31,519
6. Step 6: Final answer
   x = 143,316.23