Finding the Third Proportional to 23,204 and 37,362

Step by Step Solution

1. Step 1: Write the proportion equation
   23,204 : 37,362 = 37,362 : x
2. Step 2: Convert to fraction form
   23,204/37,362 = 37,362/x
3. Step 3: Cross multiply
   23,204x = 37,362 × 37,362
4. Step 4: Simplify right side
   23,204x = 1,395,919,044
5. Step 5: Solve for x
   x = 1,395,919,044/23,204
6. Step 6: Final answer
   x = 60,158.55