Finding the Third Proportional to 36,384 and 55,632

Step by Step Solution

1. Step 1: Write the proportion equation
   36,384 : 55,632 = 55,632 : x
2. Step 2: Convert to fraction form
   36,384/55,632 = 55,632/x
3. Step 3: Cross multiply
   36,384x = 55,632 × 55,632
4. Step 4: Simplify right side
   36,384x = 3,094,919,424
5. Step 5: Solve for x
   x = 3,094,919,424/36,384
6. Step 6: Final answer
   x = 85,062.65