Finding the Third Proportional to 23,107 and 37,202

Step by Step Solution

1. Step 1: Write the proportion equation
   23,107 : 37,202 = 37,202 : x
2. Step 2: Convert to fraction form
   23,107/37,202 = 37,202/x
3. Step 3: Cross multiply
   23,107x = 37,202 × 37,202
4. Step 4: Simplify right side
   23,107x = 1,383,988,804
5. Step 5: Solve for x
   x = 1,383,988,804/23,107
6. Step 6: Final answer
   x = 59,894.79