Finding the Third Proportional to 5,914.50 and 7,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,914.50 : 7,147.50 = 7,147.50 : x
2. Step 2: Convert to fraction form
   5,914.50/7,147.50 = 7,147.50/x
3. Step 3: Cross multiply
   5,914.50x = 7,147.50 × 7,147.50
4. Step 4: Simplify right side
   5,914.50x = 51,086,756.25
5. Step 5: Solve for x
   x = 51,086,756.25/5,914.50
6. Step 6: Final answer
   x = 8,637.54