Finding the Third Proportional to 31,583 and 45,628

Step by Step Solution

1. Step 1: Write the proportion equation
   31,583 : 45,628 = 45,628 : x
2. Step 2: Convert to fraction form
   31,583/45,628 = 45,628/x
3. Step 3: Cross multiply
   31,583x = 45,628 × 45,628
4. Step 4: Simplify right side
   31,583x = 2,081,914,384
5. Step 5: Solve for x
   x = 2,081,914,384/31,583
6. Step 6: Final answer
   x = 65,918.83