Finding the Third Proportional to 40,164 and 53,658

Step by Step Solution

1. Step 1: Write the proportion equation
   40,164 : 53,658 = 53,658 : x
2. Step 2: Convert to fraction form
   40,164/53,658 = 53,658/x
3. Step 3: Cross multiply
   40,164x = 53,658 × 53,658
4. Step 4: Simplify right side
   40,164x = 2,879,180,964
5. Step 5: Solve for x
   x = 2,879,180,964/40,164
6. Step 6: Final answer
   x = 71,685.61