Finding the Third Proportional to 36,404 and 52,608

Step by Step Solution

1. Step 1: Write the proportion equation
   36,404 : 52,608 = 52,608 : x
2. Step 2: Convert to fraction form
   36,404/52,608 = 52,608/x
3. Step 3: Cross multiply
   36,404x = 52,608 × 52,608
4. Step 4: Simplify right side
   36,404x = 2,767,601,664
5. Step 5: Solve for x
   x = 2,767,601,664/36,404
6. Step 6: Final answer
   x = 76,024.66