Finding the Third Proportional to 31,563 and 73,746

Step by Step Solution

1. Step 1: Write the proportion equation
   31,563 : 73,746 = 73,746 : x
2. Step 2: Convert to fraction form
   31,563/73,746 = 73,746/x
3. Step 3: Cross multiply
   31,563x = 73,746 × 73,746
4. Step 4: Simplify right side
   31,563x = 5,438,472,516
5. Step 5: Solve for x
   x = 5,438,472,516/31,563
6. Step 6: Final answer
   x = 172,305.31