Finding the Third Proportional to 31,297 and 67,509

Step by Step Solution

1. Step 1: Write the proportion equation
   31,297 : 67,509 = 67,509 : x
2. Step 2: Convert to fraction form
   31,297/67,509 = 67,509/x
3. Step 3: Cross multiply
   31,297x = 67,509 × 67,509
4. Step 4: Simplify right side
   31,297x = 4,557,465,081
5. Step 5: Solve for x
   x = 4,557,465,081/31,297
6. Step 6: Final answer
   x = 145,619.87