Finding the Third Proportional to 37,384 and 78,979

Step by Step Solution

1. Step 1: Write the proportion equation
   37,384 : 78,979 = 78,979 : x
2. Step 2: Convert to fraction form
   37,384/78,979 = 78,979/x
3. Step 3: Cross multiply
   37,384x = 78,979 × 78,979
4. Step 4: Simplify right side
   37,384x = 6,237,682,441
5. Step 5: Solve for x
   x = 6,237,682,441/37,384
6. Step 6: Final answer
   x = 166,854.33