Finding the Third Proportional to 31,468 and 67,852

Step by Step Solution

1. Step 1: Write the proportion equation
   31,468 : 67,852 = 67,852 : x
2. Step 2: Convert to fraction form
   31,468/67,852 = 67,852/x
3. Step 3: Cross multiply
   31,468x = 67,852 × 67,852
4. Step 4: Simplify right side
   31,468x = 4,603,893,904
5. Step 5: Solve for x
   x = 4,603,893,904/31,468
6. Step 6: Final answer
   x = 146,303.99