Finding the Third Proportional to 31,298 and 67,511

Step by Step Solution

1. Step 1: Write the proportion equation
   31,298 : 67,511 = 67,511 : x
2. Step 2: Convert to fraction form
   31,298/67,511 = 67,511/x
3. Step 3: Cross multiply
   31,298x = 67,511 × 67,511
4. Step 4: Simplify right side
   31,298x = 4,557,735,121
5. Step 5: Solve for x
   x = 4,557,735,121/31,298
6. Step 6: Final answer
   x = 145,623.85