Finding the Third Proportional to 25,176 and 37,766

Step by Step Solution

1. Step 1: Write the proportion equation
   25,176 : 37,766 = 37,766 : x
2. Step 2: Convert to fraction form
   25,176/37,766 = 37,766/x
3. Step 3: Cross multiply
   25,176x = 37,766 × 37,766
4. Step 4: Simplify right side
   25,176x = 1,426,270,756
5. Step 5: Solve for x
   x = 1,426,270,756/25,176
6. Step 6: Final answer
   x = 56,652.00