Finding the Third Proportional to 12,642 and 30,633

Step by Step Solution

1. Step 1: Write the proportion equation
   12,642 : 30,633 = 30,633 : x
2. Step 2: Convert to fraction form
   12,642/30,633 = 30,633/x
3. Step 3: Cross multiply
   12,642x = 30,633 × 30,633
4. Step 4: Simplify right side
   12,642x = 938,380,689
5. Step 5: Solve for x
   x = 938,380,689/12,642
6. Step 6: Final answer
   x = 74,227.23