Finding the Third Proportional to 23,664 and 37,120

Step by Step Solution

1. Step 1: Write the proportion equation
   23,664 : 37,120 = 37,120 : x
2. Step 2: Convert to fraction form
   23,664/37,120 = 37,120/x
3. Step 3: Cross multiply
   23,664x = 37,120 × 37,120
4. Step 4: Simplify right side
   23,664x = 1,377,894,400
5. Step 5: Solve for x
   x = 1,377,894,400/23,664
6. Step 6: Final answer
   x = 58,227.45