Finding the Third Proportional to 2,533.50 and 5,938.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.50 : 5,938.88 = 5,938.88 : x
2. Step 2: Convert to fraction form
   2,533.50/5,938.88 = 5,938.88/x
3. Step 3: Cross multiply
   2,533.50x = 5,938.88 × 5,938.88
4. Step 4: Simplify right side
   2,533.50x = 35,270,236.27
5. Step 5: Solve for x
   x = 35,270,236.27/2,533.50
6. Step 6: Final answer
   x = 13,921.55