Finding the Third Proportional to 23,811 and 37,077

Step by Step Solution

1. Step 1: Write the proportion equation
   23,811 : 37,077 = 37,077 : x
2. Step 2: Convert to fraction form
   23,811/37,077 = 37,077/x
3. Step 3: Cross multiply
   23,811x = 37,077 × 37,077
4. Step 4: Simplify right side
   23,811x = 1,374,703,929
5. Step 5: Solve for x
   x = 1,374,703,929/23,811
6. Step 6: Final answer
   x = 57,733.99