Finding the Third Proportional to 36,612 and 55,323

Step by Step Solution

1. Step 1: Write the proportion equation
   36,612 : 55,323 = 55,323 : x
2. Step 2: Convert to fraction form
   36,612/55,323 = 55,323/x
3. Step 3: Cross multiply
   36,612x = 55,323 × 55,323
4. Step 4: Simplify right side
   36,612x = 3,060,634,329
5. Step 5: Solve for x
   x = 3,060,634,329/36,612
6. Step 6: Final answer
   x = 83,596.48