Finding the Third Proportional to 26,477 and 39,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,477 : 39,099.50 = 39,099.50 : x
2. Step 2: Convert to fraction form
   26,477/39,099.50 = 39,099.50/x
3. Step 3: Cross multiply
   26,477x = 39,099.50 × 39,099.50
4. Step 4: Simplify right side
   26,477x = 1,528,770,900.25
5. Step 5: Solve for x
   x = 1,528,770,900.25/26,477
6. Step 6: Final answer
   x = 57,739.58