Finding the Third Proportional to 31,274 and 66,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,274 : 66,648 = 66,648 : x
2. Step 2: Convert to fraction form
   31,274/66,648 = 66,648/x
3. Step 3: Cross multiply
   31,274x = 66,648 × 66,648
4. Step 4: Simplify right side
   31,274x = 4,441,955,904
5. Step 5: Solve for x
   x = 4,441,955,904/31,274
6. Step 6: Final answer
   x = 142,033.51