Finding the Third Proportional to 22,878 and 35,653

Step by Step Solution

1. Step 1: Write the proportion equation
   22,878 : 35,653 = 35,653 : x
2. Step 2: Convert to fraction form
   22,878/35,653 = 35,653/x
3. Step 3: Cross multiply
   22,878x = 35,653 × 35,653
4. Step 4: Simplify right side
   22,878x = 1,271,136,409
5. Step 5: Solve for x
   x = 1,271,136,409/22,878
6. Step 6: Final answer
   x = 55,561.52