Finding the Third Proportional to 37,067 and 78,833

Step by Step Solution

1. Step 1: Write the proportion equation
   37,067 : 78,833 = 78,833 : x
2. Step 2: Convert to fraction form
   37,067/78,833 = 78,833/x
3. Step 3: Cross multiply
   37,067x = 78,833 × 78,833
4. Step 4: Simplify right side
   37,067x = 6,214,641,889
5. Step 5: Solve for x
   x = 6,214,641,889/37,067
6. Step 6: Final answer
   x = 167,659.69