Finding the Third Proportional to 22,578 and 35,118

Step by Step Solution

1. Step 1: Write the proportion equation
   22,578 : 35,118 = 35,118 : x
2. Step 2: Convert to fraction form
   22,578/35,118 = 35,118/x
3. Step 3: Cross multiply
   22,578x = 35,118 × 35,118
4. Step 4: Simplify right side
   22,578x = 1,233,273,924
5. Step 5: Solve for x
   x = 1,233,273,924/22,578
6. Step 6: Final answer
   x = 54,622.82