Finding the Third Proportional to 37,772 and 52,804

Step by Step Solution

1. Step 1: Write the proportion equation
   37,772 : 52,804 = 52,804 : x
2. Step 2: Convert to fraction form
   37,772/52,804 = 52,804/x
3. Step 3: Cross multiply
   37,772x = 52,804 × 52,804
4. Step 4: Simplify right side
   37,772x = 2,788,262,416
5. Step 5: Solve for x
   x = 2,788,262,416/37,772
6. Step 6: Final answer
   x = 73,818.24