Finding the Third Proportional to 37,770 and 52,938

Step by Step Solution

1. Step 1: Write the proportion equation
   37,770 : 52,938 = 52,938 : x
2. Step 2: Convert to fraction form
   37,770/52,938 = 52,938/x
3. Step 3: Cross multiply
   37,770x = 52,938 × 52,938
4. Step 4: Simplify right side
   37,770x = 2,802,431,844
5. Step 5: Solve for x
   x = 2,802,431,844/37,770
6. Step 6: Final answer
   x = 74,197.30