Finding the Third Proportional to 37,772 and 52,941

Step by Step Solution

1. Step 1: Write the proportion equation
   37,772 : 52,941 = 52,941 : x
2. Step 2: Convert to fraction form
   37,772/52,941 = 52,941/x
3. Step 3: Cross multiply
   37,772x = 52,941 × 52,941
4. Step 4: Simplify right side
   37,772x = 2,802,749,481
5. Step 5: Solve for x
   x = 2,802,749,481/37,772
6. Step 6: Final answer
   x = 74,201.78