Finding the Third Proportional to 22,774 and 35,264

Step by Step Solution

1. Step 1: Write the proportion equation
   22,774 : 35,264 = 35,264 : x
2. Step 2: Convert to fraction form
   22,774/35,264 = 35,264/x
3. Step 3: Cross multiply
   22,774x = 35,264 × 35,264
4. Step 4: Simplify right side
   22,774x = 1,243,549,696
5. Step 5: Solve for x
   x = 1,243,549,696/22,774
6. Step 6: Final answer
   x = 54,603.92