Finding the Third Proportional to 2,583,036 and 5,638,164

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583,036 : 5,638,164 = 5,638,164 : x
2. Step 2: Convert to fraction form
   2,583,036/5,638,164 = 5,638,164/x
3. Step 3: Cross multiply
   2,583,036x = 5,638,164 × 5,638,164
4. Step 4: Simplify right side
   2,583,036x = 31,788,893,290,896
5. Step 5: Solve for x
   x = 31,788,893,290,896/2,583,036
6. Step 6: Final answer
   x = 12,306,794.52