Finding the Third Proportional to 23,680 and 37,144

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 37,144 = 37,144 : x
2. Step 2: Convert to fraction form
   23,680/37,144 = 37,144/x
3. Step 3: Cross multiply
   23,680x = 37,144 × 37,144
4. Step 4: Simplify right side
   23,680x = 1,379,676,736
5. Step 5: Solve for x
   x = 1,379,676,736/23,680
6. Step 6: Final answer
   x = 58,263.38