Finding the Third Proportional to 35,768 and 52,612

Step by Step Solution

1. Step 1: Write the proportion equation
   35,768 : 52,612 = 52,612 : x
2. Step 2: Convert to fraction form
   35,768/52,612 = 52,612/x
3. Step 3: Cross multiply
   35,768x = 52,612 × 52,612
4. Step 4: Simplify right side
   35,768x = 2,768,022,544
5. Step 5: Solve for x
   x = 2,768,022,544/35,768
6. Step 6: Final answer
   x = 77,388.24