Finding the Third Proportional to 31,346 and 48,003

Step by Step Solution

1. Step 1: Write the proportion equation
   31,346 : 48,003 = 48,003 : x
2. Step 2: Convert to fraction form
   31,346/48,003 = 48,003/x
3. Step 3: Cross multiply
   31,346x = 48,003 × 48,003
4. Step 4: Simplify right side
   31,346x = 2,304,288,009
5. Step 5: Solve for x
   x = 2,304,288,009/31,346
6. Step 6: Final answer
   x = 73,511.39