Finding the Third Proportional to 25,186 and 37,011

Step by Step Solution

1. Step 1: Write the proportion equation
   25,186 : 37,011 = 37,011 : x
2. Step 2: Convert to fraction form
   25,186/37,011 = 37,011/x
3. Step 3: Cross multiply
   25,186x = 37,011 × 37,011
4. Step 4: Simplify right side
   25,186x = 1,369,814,121
5. Step 5: Solve for x
   x = 1,369,814,121/25,186
6. Step 6: Final answer
   x = 54,387.92