Finding the Third Proportional to 37,189 and 52,015

Step by Step Solution

1. Step 1: Write the proportion equation
   37,189 : 52,015 = 52,015 : x
2. Step 2: Convert to fraction form
   37,189/52,015 = 52,015/x
3. Step 3: Cross multiply
   37,189x = 52,015 × 52,015
4. Step 4: Simplify right side
   37,189x = 2,705,560,225
5. Step 5: Solve for x
   x = 2,705,560,225/37,189
6. Step 6: Final answer
   x = 72,751.63