Finding the Third Proportional to 36,858 and 76,632

Step by Step Solution

1. Step 1: Write the proportion equation
   36,858 : 76,632 = 76,632 : x
2. Step 2: Convert to fraction form
   36,858/76,632 = 76,632/x
3. Step 3: Cross multiply
   36,858x = 76,632 × 76,632
4. Step 4: Simplify right side
   36,858x = 5,872,463,424
5. Step 5: Solve for x
   x = 5,872,463,424/36,858
6. Step 6: Final answer
   x = 159,326.70