Finding the Third Proportional to 32,886 and 71,778

Step by Step Solution

1. Step 1: Write the proportion equation
   32,886 : 71,778 = 71,778 : x
2. Step 2: Convert to fraction form
   32,886/71,778 = 71,778/x
3. Step 3: Cross multiply
   32,886x = 71,778 × 71,778
4. Step 4: Simplify right side
   32,886x = 5,152,081,284
5. Step 5: Solve for x
   x = 5,152,081,284/32,886
6. Step 6: Final answer
   x = 156,664.88