Finding the Third Proportional to 16,076 and 37,558

Step by Step Solution

1. Step 1: Write the proportion equation
   16,076 : 37,558 = 37,558 : x
2. Step 2: Convert to fraction form
   16,076/37,558 = 37,558/x
3. Step 3: Cross multiply
   16,076x = 37,558 × 37,558
4. Step 4: Simplify right side
   16,076x = 1,410,603,364
5. Step 5: Solve for x
   x = 1,410,603,364/16,076
6. Step 6: Final answer
   x = 87,745.92