Finding the Third Proportional to 31,582 and 45,627

Step by Step Solution

1. Step 1: Write the proportion equation
   31,582 : 45,627 = 45,627 : x
2. Step 2: Convert to fraction form
   31,582/45,627 = 45,627/x
3. Step 3: Cross multiply
   31,582x = 45,627 × 45,627
4. Step 4: Simplify right side
   31,582x = 2,081,823,129
5. Step 5: Solve for x
   x = 2,081,823,129/31,582
6. Step 6: Final answer
   x = 65,918.03