Finding the Third Proportional to 23,110 and 37,206

Step by Step Solution

1. Step 1: Write the proportion equation
   23,110 : 37,206 = 37,206 : x
2. Step 2: Convert to fraction form
   23,110/37,206 = 37,206/x
3. Step 3: Cross multiply
   23,110x = 37,206 × 37,206
4. Step 4: Simplify right side
   23,110x = 1,384,286,436
5. Step 5: Solve for x
   x = 1,384,286,436/23,110
6. Step 6: Final answer
   x = 59,899.89