Finding the Third Proportional to 35,614 and 52,872

Step by Step Solution

1. Step 1: Write the proportion equation
   35,614 : 52,872 = 52,872 : x
2. Step 2: Convert to fraction form
   35,614/52,872 = 52,872/x
3. Step 3: Cross multiply
   35,614x = 52,872 × 52,872
4. Step 4: Simplify right side
   35,614x = 2,795,448,384
5. Step 5: Solve for x
   x = 2,795,448,384/35,614
6. Step 6: Final answer
   x = 78,492.96