Finding the Third Proportional to 22,896 and 34,665

Step by Step Solution

1. Step 1: Write the proportion equation
   22,896 : 34,665 = 34,665 : x
2. Step 2: Convert to fraction form
   22,896/34,665 = 34,665/x
3. Step 3: Cross multiply
   22,896x = 34,665 × 34,665
4. Step 4: Simplify right side
   22,896x = 1,201,662,225
5. Step 5: Solve for x
   x = 1,201,662,225/22,896
6. Step 6: Final answer
   x = 52,483.50