Finding the Third Proportional to 23,096 and 37,194

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 37,194 = 37,194 : x
2. Step 2: Convert to fraction form
   23,096/37,194 = 37,194/x
3. Step 3: Cross multiply
   23,096x = 37,194 × 37,194
4. Step 4: Simplify right side
   23,096x = 1,383,393,636
5. Step 5: Solve for x
   x = 1,383,393,636/23,096
6. Step 6: Final answer
   x = 59,897.54