Finding the Third Proportional to 22,846 and 34,270

Step by Step Solution

1. Step 1: Write the proportion equation
   22,846 : 34,270 = 34,270 : x
2. Step 2: Convert to fraction form
   22,846/34,270 = 34,270/x
3. Step 3: Cross multiply
   22,846x = 34,270 × 34,270
4. Step 4: Simplify right side
   22,846x = 1,174,432,900
5. Step 5: Solve for x
   x = 1,174,432,900/22,846
6. Step 6: Final answer
   x = 51,406.50