Finding the Third Proportional to 5,065.50 and 5,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,065.50 : 5,470.50 = 5,470.50 : x
2. Step 2: Convert to fraction form
   5,065.50/5,470.50 = 5,470.50/x
3. Step 3: Cross multiply
   5,065.50x = 5,470.50 × 5,470.50
4. Step 4: Simplify right side
   5,065.50x = 29,926,370.25
5. Step 5: Solve for x
   x = 29,926,370.25/5,065.50
6. Step 6: Final answer
   x = 5,907.88