Finding the Third Proportional to 23,666 and 37,123

Step by Step Solution

1. Step 1: Write the proportion equation
   23,666 : 37,123 = 37,123 : x
2. Step 2: Convert to fraction form
   23,666/37,123 = 37,123/x
3. Step 3: Cross multiply
   23,666x = 37,123 × 37,123
4. Step 4: Simplify right side
   23,666x = 1,378,117,129
5. Step 5: Solve for x
   x = 1,378,117,129/23,666
6. Step 6: Final answer
   x = 58,231.94