Finding the Third Proportional to 32,164 and 65,888

Step by Step Solution

1. Step 1: Write the proportion equation
   32,164 : 65,888 = 65,888 : x
2. Step 2: Convert to fraction form
   32,164/65,888 = 65,888/x
3. Step 3: Cross multiply
   32,164x = 65,888 × 65,888
4. Step 4: Simplify right side
   32,164x = 4,341,228,544
5. Step 5: Solve for x
   x = 4,341,228,544/32,164
6. Step 6: Final answer
   x = 134,971.66