Finding the Third Proportional to 36,105 and 53,064

Step by Step Solution

1. Step 1: Write the proportion equation
   36,105 : 53,064 = 53,064 : x
2. Step 2: Convert to fraction form
   36,105/53,064 = 53,064/x
3. Step 3: Cross multiply
   36,105x = 53,064 × 53,064
4. Step 4: Simplify right side
   36,105x = 2,815,788,096
5. Step 5: Solve for x
   x = 2,815,788,096/36,105
6. Step 6: Final answer
   x = 77,988.87