Finding the Third Proportional to 37,809 and 52,982

Step by Step Solution

1. Step 1: Write the proportion equation
   37,809 : 52,982 = 52,982 : x
2. Step 2: Convert to fraction form
   37,809/52,982 = 52,982/x
3. Step 3: Cross multiply
   37,809x = 52,982 × 52,982
4. Step 4: Simplify right side
   37,809x = 2,807,092,324
5. Step 5: Solve for x
   x = 2,807,092,324/37,809
6. Step 6: Final answer
   x = 74,244.02