Finding the Third Proportional to 23,264 and 37,328

Step by Step Solution

1. Step 1: Write the proportion equation
   23,264 : 37,328 = 37,328 : x
2. Step 2: Convert to fraction form
   23,264/37,328 = 37,328/x
3. Step 3: Cross multiply
   23,264x = 37,328 × 37,328
4. Step 4: Simplify right side
   23,264x = 1,393,379,584
5. Step 5: Solve for x
   x = 1,393,379,584/23,264
6. Step 6: Final answer
   x = 59,894.24