Finding the Third Proportional to 25,186 and 37,783

Step by Step Solution

1. Step 1: Write the proportion equation
   25,186 : 37,783 = 37,783 : x
2. Step 2: Convert to fraction form
   25,186/37,783 = 37,783/x
3. Step 3: Cross multiply
   25,186x = 37,783 × 37,783
4. Step 4: Simplify right side
   25,186x = 1,427,555,089
5. Step 5: Solve for x
   x = 1,427,555,089/25,186
6. Step 6: Final answer
   x = 56,680.50