Finding the Third Proportional to 27,176 and 42,003

Step by Step Solution

1. Step 1: Write the proportion equation
   27,176 : 42,003 = 42,003 : x
2. Step 2: Convert to fraction form
   27,176/42,003 = 42,003/x
3. Step 3: Cross multiply
   27,176x = 42,003 × 42,003
4. Step 4: Simplify right side
   27,176x = 1,764,252,009
5. Step 5: Solve for x
   x = 1,764,252,009/27,176
6. Step 6: Final answer
   x = 64,919.49