Finding the Third Proportional to 39,766 and 59,648

Step by Step Solution

1. Step 1: Write the proportion equation
   39,766 : 59,648 = 59,648 : x
2. Step 2: Convert to fraction form
   39,766/59,648 = 59,648/x
3. Step 3: Cross multiply
   39,766x = 59,648 × 59,648
4. Step 4: Simplify right side
   39,766x = 3,557,883,904
5. Step 5: Solve for x
   x = 3,557,883,904/39,766
6. Step 6: Final answer
   x = 89,470.50