Finding the Third Proportional to 22,664 and 35,005

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 35,005 = 35,005 : x
2. Step 2: Convert to fraction form
   22,664/35,005 = 35,005/x
3. Step 3: Cross multiply
   22,664x = 35,005 × 35,005
4. Step 4: Simplify right side
   22,664x = 1,225,350,025
5. Step 5: Solve for x
   x = 1,225,350,025/22,664
6. Step 6: Final answer
   x = 54,065.92