Finding the Third Proportional to 23,678 and 35,354

Step by Step Solution

1. Step 1: Write the proportion equation
   23,678 : 35,354 = 35,354 : x
2. Step 2: Convert to fraction form
   23,678/35,354 = 35,354/x
3. Step 3: Cross multiply
   23,678x = 35,354 × 35,354
4. Step 4: Simplify right side
   23,678x = 1,249,905,316
5. Step 5: Solve for x
   x = 1,249,905,316/23,678
6. Step 6: Final answer
   x = 52,787.62