Finding the Third Proportional to 32,354 and 65,896

Step by Step Solution

1. Step 1: Write the proportion equation
   32,354 : 65,896 = 65,896 : x
2. Step 2: Convert to fraction form
   32,354/65,896 = 65,896/x
3. Step 3: Cross multiply
   32,354x = 65,896 × 65,896
4. Step 4: Simplify right side
   32,354x = 4,342,282,816
5. Step 5: Solve for x
   x = 4,342,282,816/32,354
6. Step 6: Final answer
   x = 134,211.62