Finding the Third Proportional to 26,004 and 39,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,004 : 39,978.50 = 39,978.50 : x
2. Step 2: Convert to fraction form
   26,004/39,978.50 = 39,978.50/x
3. Step 3: Cross multiply
   26,004x = 39,978.50 × 39,978.50
4. Step 4: Simplify right side
   26,004x = 1,598,280,462.25
5. Step 5: Solve for x
   x = 1,598,280,462.25/26,004
6. Step 6: Final answer
   x = 61,462.87