Finding the Third Proportional to 5,977.50 and 12,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,977.50 : 12,638.25 = 12,638.25 : x
2. Step 2: Convert to fraction form
   5,977.50/12,638.25 = 12,638.25/x
3. Step 3: Cross multiply
   5,977.50x = 12,638.25 × 12,638.25
4. Step 4: Simplify right side
   5,977.50x = 159,725,363.06
5. Step 5: Solve for x
   x = 159,725,363.06/5,977.50
6. Step 6: Final answer
   x = 26,721.10