Finding the Third Proportional to 2,738 and 5,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738 : 5,937.50 = 5,937.50 : x
2. Step 2: Convert to fraction form
   2,738/5,937.50 = 5,937.50/x
3. Step 3: Cross multiply
   2,738x = 5,937.50 × 5,937.50
4. Step 4: Simplify right side
   2,738x = 35,253,906.25
5. Step 5: Solve for x
   x = 35,253,906.25/2,738
6. Step 6: Final answer
   x = 12,875.79