Finding the Third Proportional to 23,677 and 35,352

Step by Step Solution

1. Step 1: Write the proportion equation
   23,677 : 35,352 = 35,352 : x
2. Step 2: Convert to fraction form
   23,677/35,352 = 35,352/x
3. Step 3: Cross multiply
   23,677x = 35,352 × 35,352
4. Step 4: Simplify right side
   23,677x = 1,249,763,904
5. Step 5: Solve for x
   x = 1,249,763,904/23,677
6. Step 6: Final answer
   x = 52,783.88