Finding the Third Proportional to 37,179 and 52,983

Step by Step Solution

1. Step 1: Write the proportion equation
   37,179 : 52,983 = 52,983 : x
2. Step 2: Convert to fraction form
   37,179/52,983 = 52,983/x
3. Step 3: Cross multiply
   37,179x = 52,983 × 52,983
4. Step 4: Simplify right side
   37,179x = 2,807,198,289
5. Step 5: Solve for x
   x = 2,807,198,289/37,179
6. Step 6: Final answer
   x = 75,504.94