Finding the Third Proportional to 22,664 and 37,456

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 37,456 = 37,456 : x
2. Step 2: Convert to fraction form
   22,664/37,456 = 37,456/x
3. Step 3: Cross multiply
   22,664x = 37,456 × 37,456
4. Step 4: Simplify right side
   22,664x = 1,402,951,936
5. Step 5: Solve for x
   x = 1,402,951,936/22,664
6. Step 6: Final answer
   x = 61,902.22