Finding the Third Proportional to 31,574 and 73,773

Step by Step Solution

1. Step 1: Write the proportion equation
   31,574 : 73,773 = 73,773 : x
2. Step 2: Convert to fraction form
   31,574/73,773 = 73,773/x
3. Step 3: Cross multiply
   31,574x = 73,773 × 73,773
4. Step 4: Simplify right side
   31,574x = 5,442,455,529
5. Step 5: Solve for x
   x = 5,442,455,529/31,574
6. Step 6: Final answer
   x = 172,371.43