Finding the Third Proportional to 23,864 and 37,396

Step by Step Solution

1. Step 1: Write the proportion equation
   23,864 : 37,396 = 37,396 : x
2. Step 2: Convert to fraction form
   23,864/37,396 = 37,396/x
3. Step 3: Cross multiply
   23,864x = 37,396 × 37,396
4. Step 4: Simplify right side
   23,864x = 1,398,460,816
5. Step 5: Solve for x
   x = 1,398,460,816/23,864
6. Step 6: Final answer
   x = 58,601.27