Finding the Third Proportional to 39,138 and 59,456

Step by Step Solution

1. Step 1: Write the proportion equation
   39,138 : 59,456 = 59,456 : x
2. Step 2: Convert to fraction form
   39,138/59,456 = 59,456/x
3. Step 3: Cross multiply
   39,138x = 59,456 × 59,456
4. Step 4: Simplify right side
   39,138x = 3,535,015,936
5. Step 5: Solve for x
   x = 3,535,015,936/39,138
6. Step 6: Final answer
   x = 90,321.83