Finding the Third Proportional to 22,746 and 34,578

Step by Step Solution

1. Step 1: Write the proportion equation
   22,746 : 34,578 = 34,578 : x
2. Step 2: Convert to fraction form
   22,746/34,578 = 34,578/x
3. Step 3: Cross multiply
   22,746x = 34,578 × 34,578
4. Step 4: Simplify right side
   22,746x = 1,195,638,084
5. Step 5: Solve for x
   x = 1,195,638,084/22,746
6. Step 6: Final answer
   x = 52,564.76