Finding the Third Proportional to 26,596 and 39,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,596 : 39,380.50 = 39,380.50 : x
2. Step 2: Convert to fraction form
   26,596/39,380.50 = 39,380.50/x
3. Step 3: Cross multiply
   26,596x = 39,380.50 × 39,380.50
4. Step 4: Simplify right side
   26,596x = 1,550,823,780.25
5. Step 5: Solve for x
   x = 1,550,823,780.25/26,596
6. Step 6: Final answer
   x = 58,310.41