Finding the Third Proportional to 35,858 and 52,635

Step by Step Solution

1. Step 1: Write the proportion equation
   35,858 : 52,635 = 52,635 : x
2. Step 2: Convert to fraction form
   35,858/52,635 = 52,635/x
3. Step 3: Cross multiply
   35,858x = 52,635 × 52,635
4. Step 4: Simplify right side
   35,858x = 2,770,443,225
5. Step 5: Solve for x
   x = 2,770,443,225/35,858
6. Step 6: Final answer
   x = 77,261.51