Finding the Third Proportional to 37,774 and 52,807

Step by Step Solution

1. Step 1: Write the proportion equation
   37,774 : 52,807 = 52,807 : x
2. Step 2: Convert to fraction form
   37,774/52,807 = 52,807/x
3. Step 3: Cross multiply
   37,774x = 52,807 × 52,807
4. Step 4: Simplify right side
   37,774x = 2,788,579,249
5. Step 5: Solve for x
   x = 2,788,579,249/37,774
6. Step 6: Final answer
   x = 73,822.72