Finding the Third Proportional to 38,720 and 59,826

Step by Step Solution

1. Step 1: Write the proportion equation
   38,720 : 59,826 = 59,826 : x
2. Step 2: Convert to fraction form
   38,720/59,826 = 59,826/x
3. Step 3: Cross multiply
   38,720x = 59,826 × 59,826
4. Step 4: Simplify right side
   38,720x = 3,579,150,276
5. Step 5: Solve for x
   x = 3,579,150,276/38,720
6. Step 6: Final answer
   x = 92,436.73