Finding the Third Proportional to 40,838 and 61,496

Step by Step Solution

1. Step 1: Write the proportion equation
   40,838 : 61,496 = 61,496 : x
2. Step 2: Convert to fraction form
   40,838/61,496 = 61,496/x
3. Step 3: Cross multiply
   40,838x = 61,496 × 61,496
4. Step 4: Simplify right side
   40,838x = 3,781,758,016
5. Step 5: Solve for x
   x = 3,781,758,016/40,838
6. Step 6: Final answer
   x = 92,603.90