Finding the Third Proportional to 17,648 and 26,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,648 : 26,470.50 = 26,470.50 : x
2. Step 2: Convert to fraction form
   17,648/26,470.50 = 26,470.50/x
3. Step 3: Cross multiply
   17,648x = 26,470.50 × 26,470.50
4. Step 4: Simplify right side
   17,648x = 700,687,370.25
5. Step 5: Solve for x
   x = 700,687,370.25/17,648
6. Step 6: Final answer
   x = 39,703.50