Finding the Third Proportional to 23,814 and 37,692

Step by Step Solution

1. Step 1: Write the proportion equation
   23,814 : 37,692 = 37,692 : x
2. Step 2: Convert to fraction form
   23,814/37,692 = 37,692/x
3. Step 3: Cross multiply
   23,814x = 37,692 × 37,692
4. Step 4: Simplify right side
   23,814x = 1,420,686,864
5. Step 5: Solve for x
   x = 1,420,686,864/23,814
6. Step 6: Final answer
   x = 59,657.63