Finding the Third Proportional to 33,424 and 78,886

Step by Step Solution

1. Step 1: Write the proportion equation
   33,424 : 78,886 = 78,886 : x
2. Step 2: Convert to fraction form
   33,424/78,886 = 78,886/x
3. Step 3: Cross multiply
   33,424x = 78,886 × 78,886
4. Step 4: Simplify right side
   33,424x = 6,223,000,996
5. Step 5: Solve for x
   x = 6,223,000,996/33,424
6. Step 6: Final answer
   x = 186,183.61