Finding the Third Proportional to 31,952.50 and 68,003

Step by Step Solution

1. Step 1: Write the proportion equation
   31,952.50 : 68,003 = 68,003 : x
2. Step 2: Convert to fraction form
   31,952.50/68,003 = 68,003/x
3. Step 3: Cross multiply
   31,952.50x = 68,003 × 68,003
4. Step 4: Simplify right side
   31,952.50x = 4,624,408,009
5. Step 5: Solve for x
   x = 4,624,408,009/31,952.50
6. Step 6: Final answer
   x = 144,727.58