Finding the Third Proportional to 22,576 and 35,094

Step by Step Solution

1. Step 1: Write the proportion equation
   22,576 : 35,094 = 35,094 : x
2. Step 2: Convert to fraction form
   22,576/35,094 = 35,094/x
3. Step 3: Cross multiply
   22,576x = 35,094 × 35,094
4. Step 4: Simplify right side
   22,576x = 1,231,588,836
5. Step 5: Solve for x
   x = 1,231,588,836/22,576
6. Step 6: Final answer
   x = 54,553.01