Finding the Third Proportional to 35,296 and 52,752

Step by Step Solution

1. Step 1: Write the proportion equation
   35,296 : 52,752 = 52,752 : x
2. Step 2: Convert to fraction form
   35,296/52,752 = 52,752/x
3. Step 3: Cross multiply
   35,296x = 52,752 × 52,752
4. Step 4: Simplify right side
   35,296x = 2,782,773,504
5. Step 5: Solve for x
   x = 2,782,773,504/35,296
6. Step 6: Final answer
   x = 78,841.04