Finding the Third Proportional to 32,196 and 67,888

Step by Step Solution

1. Step 1: Write the proportion equation
   32,196 : 67,888 = 67,888 : x
2. Step 2: Convert to fraction form
   32,196/67,888 = 67,888/x
3. Step 3: Cross multiply
   32,196x = 67,888 × 67,888
4. Step 4: Simplify right side
   32,196x = 4,608,780,544
5. Step 5: Solve for x
   x = 4,608,780,544/32,196
6. Step 6: Final answer
   x = 143,147.61