Finding the Third Proportional to 31,578 and 45,621

Step by Step Solution

1. Step 1: Write the proportion equation
   31,578 : 45,621 = 45,621 : x
2. Step 2: Convert to fraction form
   31,578/45,621 = 45,621/x
3. Step 3: Cross multiply
   31,578x = 45,621 × 45,621
4. Step 4: Simplify right side
   31,578x = 2,081,275,641
5. Step 5: Solve for x
   x = 2,081,275,641/31,578
6. Step 6: Final answer
   x = 65,909.04