Finding the Third Proportional to 5,839.50 and 10,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,839.50 : 10,747.50 = 10,747.50 : x
2. Step 2: Convert to fraction form
   5,839.50/10,747.50 = 10,747.50/x
3. Step 3: Cross multiply
   5,839.50x = 10,747.50 × 10,747.50
4. Step 4: Simplify right side
   5,839.50x = 115,508,756.25
5. Step 5: Solve for x
   x = 115,508,756.25/5,839.50
6. Step 6: Final answer
   x = 19,780.59