Finding the Third Proportional to 42,378 and 65,656

Step by Step Solution

1. Step 1: Write the proportion equation
   42,378 : 65,656 = 65,656 : x
2. Step 2: Convert to fraction form
   42,378/65,656 = 65,656/x
3. Step 3: Cross multiply
   42,378x = 65,656 × 65,656
4. Step 4: Simplify right side
   42,378x = 4,310,710,336
5. Step 5: Solve for x
   x = 4,310,710,336/42,378
6. Step 6: Final answer
   x = 101,720.48