Finding the Third Proportional to 5,774 and 12,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,774 : 12,470.50 = 12,470.50 : x
2. Step 2: Convert to fraction form
   5,774/12,470.50 = 12,470.50/x
3. Step 3: Cross multiply
   5,774x = 12,470.50 × 12,470.50
4. Step 4: Simplify right side
   5,774x = 155,513,370.25
5. Step 5: Solve for x
   x = 155,513,370.25/5,774
6. Step 6: Final answer
   x = 26,933.39