Finding the Third Proportional to 2,583,022.50 and 5,638,135.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583,022.50 : 5,638,135.50 = 5,638,135.50 : x
2. Step 2: Convert to fraction form
   2,583,022.50/5,638,135.50 = 5,638,135.50/x
3. Step 3: Cross multiply
   2,583,022.50x = 5,638,135.50 × 5,638,135.50
4. Step 4: Simplify right side
   2,583,022.50x = 31,788,571,916,360.25
5. Step 5: Solve for x
   x = 31,788,571,916,360.25/2,583,022.50
6. Step 6: Final answer
   x = 12,306,734.42