Finding the Third Proportional to 22,878 and 35,658

Step by Step Solution

1. Step 1: Write the proportion equation
   22,878 : 35,658 = 35,658 : x
2. Step 2: Convert to fraction form
   22,878/35,658 = 35,658/x
3. Step 3: Cross multiply
   22,878x = 35,658 × 35,658
4. Step 4: Simplify right side
   22,878x = 1,271,492,964
5. Step 5: Solve for x
   x = 1,271,492,964/22,878
6. Step 6: Final answer
   x = 55,577.10