Finding the Third Proportional to 37,586 and 57,756

Step by Step Solution

1. Step 1: Write the proportion equation
   37,586 : 57,756 = 57,756 : x
2. Step 2: Convert to fraction form
   37,586/57,756 = 57,756/x
3. Step 3: Cross multiply
   37,586x = 57,756 × 57,756
4. Step 4: Simplify right side
   37,586x = 3,335,755,536
5. Step 5: Solve for x
   x = 3,335,755,536/37,586
6. Step 6: Final answer
   x = 88,749.95